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Simplifying
q2 + 3q + -70 = 0

Reorder the terms:
-70 + 3q + q2 = 0

Solving
-70 + 3q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-10 + -1q)(7 + -1q) = 0

Subproblem 1

Set the factor '(-10 + -1q)' equal to zero and attempt to solve: Simplifying -10 + -1q = 0 Solving -10 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1q = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1q = 0 + 10 -1q = 0 + 10 Combine like terms: 0 + 10 = 10 -1q = 10 Divide each side by '-1'. q = -10 Simplifying q = -10

Subproblem 2

Set the factor '(7 + -1q)' equal to zero and attempt to solve: Simplifying 7 + -1q = 0 Solving 7 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = 0 + -7 -1q = 0 + -7 Combine like terms: 0 + -7 = -7 -1q = -7 Divide each side by '-1'. q = 7 Simplifying q = 7

Solution

q = {-10, 7}
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