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Simplifying (q + 6)(q + -2) = 0 Reorder the terms: (6 + q)(q + -2) = 0 Reorder the terms: (6 + q)(-2 + q) = 0 Multiply (6 + q) * (-2 + q) (6(-2 + q) + q(-2 + q)) = 0 ((-2 * 6 + q * 6) + q(-2 + q)) = 0 ((-12 + 6q) + q(-2 + q)) = 0 (-12 + 6q + (-2 * q + q * q)) = 0 (-12 + 6q + (-2q + q2)) = 0 Combine like terms: 6q + -2q = 4q (-12 + 4q + q2) = 0 Solving -12 + 4q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (-6 + -1q)(2 + -1q) = 0Subproblem 1
Set the factor '(-6 + -1q)' equal to zero and attempt to solve: Simplifying -6 + -1q = 0 Solving -6 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1q = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1q = 0 + 6 -1q = 0 + 6 Combine like terms: 0 + 6 = 6 -1q = 6 Divide each side by '-1'. q = -6 Simplifying q = -6Subproblem 2
Set the factor '(2 + -1q)' equal to zero and attempt to solve: Simplifying 2 + -1q = 0 Solving 2 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1q = 0 + -2 -1q = 0 + -2 Combine like terms: 0 + -2 = -2 -1q = -2 Divide each side by '-1'. q = 2 Simplifying q = 2Solution
q = {-6, 2}
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