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Simplifying 35p2 + -160p + -75 = 0 Reorder the terms: -75 + -160p + 35p2 = 0 Solving -75 + -160p + 35p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5'. 5(-15 + -32p + 7p2) = 0 Factor a trinomial. 5((-3 + -7p)(5 + -1p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -7p)' equal to zero and attempt to solve: Simplifying -3 + -7p = 0 Solving -3 + -7p = 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 + -7p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7p = 0 + 3 -7p = 0 + 3 Combine like terms: 0 + 3 = 3 -7p = 3 Divide each side by '-7'. p = -0.4285714286 Simplifying p = -0.4285714286Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {-0.4285714286, 5}
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