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Simplifying 40p2 + 36p + -36 = 0 Reorder the terms: -36 + 36p + 40p2 = 0 Solving -36 + 36p + 40p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + 9p + 10p2) = 0 Factor a trinomial. 4((-3 + -2p)(3 + -5p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -2p)' equal to zero and attempt to solve: Simplifying -3 + -2p = 0 Solving -3 + -2p = 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 + -2p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2p = 0 + 3 -2p = 0 + 3 Combine like terms: 0 + 3 = 3 -2p = 3 Divide each side by '-2'. p = -1.5 Simplifying p = -1.5Subproblem 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 = {-1.5, 0.6}
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