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Simplifying 10q + 25q2 = 0 Solving 10q + 25q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '5q'. 5q(2 + 5q) = 0 Ignore the factor 5.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 '(2 + 5q)' equal to zero and attempt to solve: Simplifying 2 + 5q = 0 Solving 2 + 5q = 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 + 5q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5q = 0 + -2 5q = 0 + -2 Combine like terms: 0 + -2 = -2 5q = -2 Divide each side by '5'. q = -0.4 Simplifying q = -0.4Solution
q = {0, -0.4}
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