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Simplifying q3 + 14q2 + 49q = 0 Reorder the terms: 49q + 14q2 + q3 = 0 Solving 49q + 14q2 + q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(49 + 14q + q2) = 0 Factor a trinomial. q((7 + q)(7 + 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 '(7 + q)' equal to zero and attempt to solve: Simplifying 7 + q = 0 Solving 7 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + q = 0 + -7 q = 0 + -7 Combine like terms: 0 + -7 = -7 q = -7 Simplifying q = -7Subproblem 3
Set the factor '(7 + q)' equal to zero and attempt to solve: Simplifying 7 + q = 0 Solving 7 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + q = 0 + -7 q = 0 + -7 Combine like terms: 0 + -7 = -7 q = -7 Simplifying q = -7Solution
q = {0, -7, -7}
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