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Simplifying (7q + 9)(q + -9) = 0 Reorder the terms: (9 + 7q)(q + -9) = 0 Reorder the terms: (9 + 7q)(-9 + q) = 0 Multiply (9 + 7q) * (-9 + q) (9(-9 + q) + 7q * (-9 + q)) = 0 ((-9 * 9 + q * 9) + 7q * (-9 + q)) = 0 ((-81 + 9q) + 7q * (-9 + q)) = 0 (-81 + 9q + (-9 * 7q + q * 7q)) = 0 (-81 + 9q + (-63q + 7q2)) = 0 Combine like terms: 9q + -63q = -54q (-81 + -54q + 7q2) = 0 Solving -81 + -54q + 7q2 = 0 Solving for variable 'q'. Factor a trinomial. (-9 + -7q)(9 + -1q) = 0Subproblem 1
Set the factor '(-9 + -7q)' equal to zero and attempt to solve: Simplifying -9 + -7q = 0 Solving -9 + -7q = 0 Move all terms containing q to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7q = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7q = 0 + 9 -7q = 0 + 9 Combine like terms: 0 + 9 = 9 -7q = 9 Divide each side by '-7'. q = -1.285714286 Simplifying q = -1.285714286Subproblem 2
Set the factor '(9 + -1q)' equal to zero and attempt to solve: Simplifying 9 + -1q = 0 Solving 9 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1q = 0 + -9 -1q = 0 + -9 Combine like terms: 0 + -9 = -9 -1q = -9 Divide each side by '-1'. q = 9 Simplifying q = 9Solution
q = {-1.285714286, 9}
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