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Simplifying -2q(8q + -9) = 0 Reorder the terms: -2q(-9 + 8q) = 0 (-9 * -2q + 8q * -2q) = 0 (18q + -16q2) = 0 Solving 18q + -16q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2q'. 2q(9 + -8q) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0Subproblem 2
Set the factor '(9 + -8q)' equal to zero and attempt to solve: Simplifying 9 + -8q = 0 Solving 9 + -8q = 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 + -8q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8q = 0 + -9 -8q = 0 + -9 Combine like terms: 0 + -9 = -9 -8q = -9 Divide each side by '-8'. q = 1.125 Simplifying q = 1.125Solution
q = {0, 1.125}
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