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Simplifying (20q2 + 5q3)(-5q2) = 0 Remove parenthesis around (-5q2) (20q2 + 5q3) * -5q2 = 0 Reorder the terms for easier multiplication: -5q2(20q2 + 5q3) = 0 (20q2 * -5q2 + 5q3 * -5q2) = 0 (-100q4 + -25q5) = 0 Solving -100q4 + -25q5 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '-25q4'. -25q4(4 + q) = 0 Ignore the factor -25.Subproblem 1
Set the factor 'q4' equal to zero and attempt to solve: Simplifying q4 = 0 Solving q4 = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + q)' equal to zero and attempt to solve: Simplifying 4 + q = 0 Solving 4 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + q = 0 + -4 q = 0 + -4 Combine like terms: 0 + -4 = -4 q = -4 Simplifying q = -4Solution
q = {-4}
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