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Simplifying (-6p + -6)(-5p + -3) = 0 Reorder the terms: (-6 + -6p)(-5p + -3) = 0 Reorder the terms: (-6 + -6p)(-3 + -5p) = 0 Multiply (-6 + -6p) * (-3 + -5p) (-6(-3 + -5p) + -6p * (-3 + -5p)) = 0 ((-3 * -6 + -5p * -6) + -6p * (-3 + -5p)) = 0 ((18 + 30p) + -6p * (-3 + -5p)) = 0 (18 + 30p + (-3 * -6p + -5p * -6p)) = 0 (18 + 30p + (18p + 30p2)) = 0 Combine like terms: 30p + 18p = 48p (18 + 48p + 30p2) = 0 Solving 18 + 48p + 30p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '6'. 6(3 + 8p + 5p2) = 0 Factor a trinomial. 6((1 + p)(3 + 5p)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Subproblem 2
Set the factor '(3 + 5p)' equal to zero and attempt to solve: Simplifying 3 + 5p = 0 Solving 3 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5p = 0 + -3 5p = 0 + -3 Combine like terms: 0 + -3 = -3 5p = -3 Divide each side by '5'. p = -0.6 Simplifying p = -0.6Solution
p = {-1, -0.6}
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