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Simplifying q(q + 5) = 0 Reorder the terms: q(5 + q) = 0 (5 * q + q * q) = 0 (5q + q2) = 0 Solving 5q + q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(5 + q) = 0Subproblem 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 '(5 + q)' equal to zero and attempt to solve: Simplifying 5 + q = 0 Solving 5 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + q = 0 + -5 q = 0 + -5 Combine like terms: 0 + -5 = -5 q = -5 Simplifying q = -5Solution
q = {0, -5}
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