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Simplifying 8p2 = -56p Solving 8p2 = -56p Solving for variable 'p'. Reorder the terms: 56p + 8p2 = -56p + 56p Combine like terms: -56p + 56p = 0 56p + 8p2 = 0 Factor out the Greatest Common Factor (GCF), '8p'. 8p(7 + p) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(7 + p)' equal to zero and attempt to solve: Simplifying 7 + p = 0 Solving 7 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + p = 0 + -7 p = 0 + -7 Combine like terms: 0 + -7 = -7 p = -7 Simplifying p = -7Solution
p = {0, -7}
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