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# Calculator Output

```Simplifying
5 = 9q + 2q2

Solving
5 = 9q + 2q2

Solving for variable 'q'.

Reorder the terms:
5 + -9q + -2q2 = 9q + -9q + 2q2 + -2q2

Combine like terms: 9q + -9q = 0
5 + -9q + -2q2 = 0 + 2q2 + -2q2
5 + -9q + -2q2 = 2q2 + -2q2

Combine like terms: 2q2 + -2q2 = 0
5 + -9q + -2q2 = 0

Factor a trinomial.
(1 + -2q)(5 + q) = 0

Subproblem 1Set the factor '(1 + -2q)' equal to zero and attempt to solve:

Simplifying
1 + -2q = 0

Solving
1 + -2q = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2q = 0 + -1
-2q = 0 + -1

Combine like terms: 0 + -1 = -1
-2q = -1

Divide each side by '-2'.
q = 0.5

Simplifying
q = 0.5
Subproblem 2Set the factor '(5 + q)' equal to zero and attempt to solve:

Simplifying
5 + q = 0

Solving
5 + q = 0

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

Add '-5' to each side of the equation.
5 + -5 + q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + q = 0 + -5
q = 0 + -5

Combine like terms: 0 + -5 = -5
q = -5

Simplifying
q = -5Solutionq = {0.5, -5}```
Processing time: 1 ms. 75752363 equations since February 08, 2004.   Disclaimer

# Equation Factoring 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 Simplify Only
Hint: Selecting "AUTO" in the variable box will make the calculator automatically solve for the first variable it sees.

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