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# Calculator Output

```Simplifying
10t2 = t + 2

Reorder the terms:
10t2 = 2 + t

Solving
10t2 = 2 + t

Solving for variable 't'.

Reorder the terms:
-2 + -1t + 10t2 = 2 + t + -2 + -1t

Reorder the terms:
-2 + -1t + 10t2 = 2 + -2 + t + -1t

Combine like terms: 2 + -2 = 0
-2 + -1t + 10t2 = 0 + t + -1t
-2 + -1t + 10t2 = t + -1t

Combine like terms: t + -1t = 0
-2 + -1t + 10t2 = 0

Begin completing the square.  Divide all terms by
10 the coefficient of the squared term:

Divide each side by '10'.
-0.2 + -0.1t + t2 = 0

Move the constant term to the right:

Add '0.2' to each side of the equation.
-0.2 + -0.1t + 0.2 + t2 = 0 + 0.2

Reorder the terms:
-0.2 + 0.2 + -0.1t + t2 = 0 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -0.1t + t2 = 0 + 0.2
-0.1t + t2 = 0 + 0.2

Combine like terms: 0 + 0.2 = 0.2
-0.1t + t2 = 0.2

The t term is -0.1t.  Take half its coefficient (-0.05).
Square it (0.0025) and add it to both sides.

Add '0.0025' to each side of the equation.
-0.1t + 0.0025 + t2 = 0.2 + 0.0025

Reorder the terms:
0.0025 + -0.1t + t2 = 0.2 + 0.0025

Combine like terms: 0.2 + 0.0025 = 0.2025
0.0025 + -0.1t + t2 = 0.2025

Factor a perfect square on the left side:
(t + -0.05)(t + -0.05) = 0.2025

Calculate the square root of the right side: 0.45

Break this problem into two subproblems by setting
(t + -0.05) equal to 0.45 and -0.45.

Subproblem 1t + -0.05 = 0.45

Simplifying
t + -0.05 = 0.45

Reorder the terms:
-0.05 + t = 0.45

Solving
-0.05 + t = 0.45

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '0.05' to each side of the equation.
-0.05 + 0.05 + t = 0.45 + 0.05

Combine like terms: -0.05 + 0.05 = 0.00
0.00 + t = 0.45 + 0.05
t = 0.45 + 0.05

Combine like terms: 0.45 + 0.05 = 0.5
t = 0.5

Simplifying
t = 0.5

Subproblem 2t + -0.05 = -0.45

Simplifying
t + -0.05 = -0.45

Reorder the terms:
-0.05 + t = -0.45

Solving
-0.05 + t = -0.45

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '0.05' to each side of the equation.
-0.05 + 0.05 + t = -0.45 + 0.05

Combine like terms: -0.05 + 0.05 = 0.00
0.00 + t = -0.45 + 0.05
t = -0.45 + 0.05

Combine like terms: -0.45 + 0.05 = -0.4
t = -0.4

Simplifying
t = -0.4

SolutionThe solution to the problem is based on the solutions
from the subproblems.
t = {0.5, -0.4}```
Processing time: 1 ms. 76511170 equations since February 08, 2004.   Disclaimer

# Completing the Square Calculator

 Equation: Variable: a A b B c C d D e E f F g G h H i I j J k K l L m M n N o O p P q Q r R s S t T u U v V w W x X y Y z Z AUTO
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