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Simplifying 5p(p + -2) + -4p(p + -6) = 0 Reorder the terms: 5p(-2 + p) + -4p(p + -6) = 0 (-2 * 5p + p * 5p) + -4p(p + -6) = 0 (-10p + 5p2) + -4p(p + -6) = 0 Reorder the terms: -10p + 5p2 + -4p(-6 + p) = 0 -10p + 5p2 + (-6 * -4p + p * -4p) = 0 -10p + 5p2 + (24p + -4p2) = 0 Reorder the terms: -10p + 24p + 5p2 + -4p2 = 0 Combine like terms: -10p + 24p = 14p 14p + 5p2 + -4p2 = 0 Combine like terms: 5p2 + -4p2 = 1p2 14p + 1p2 = 0 Solving 14p + 1p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p'. p(14 + p) = 0Subproblem 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 '(14 + p)' equal to zero and attempt to solve: Simplifying 14 + p = 0 Solving 14 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + p = 0 + -14 p = 0 + -14 Combine like terms: 0 + -14 = -14 p = -14 Simplifying p = -14Solution
p = {0, -14}
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