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Simplifying 48p2 + 56p = 0 Reorder the terms: 56p + 48p2 = 0 Solving 56p + 48p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '8p'. 8p(7 + 6p) = 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 + 6p)' equal to zero and attempt to solve: Simplifying 7 + 6p = 0 Solving 7 + 6p = 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 + 6p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6p = 0 + -7 6p = 0 + -7 Combine like terms: 0 + -7 = -7 6p = -7 Divide each side by '6'. p = -1.166666667 Simplifying p = -1.166666667Solution
p = {0, -1.166666667}
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