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Simplifying (p + -8)(7p + 3) = 0 Reorder the terms: (-8 + p)(7p + 3) = 0 Reorder the terms: (-8 + p)(3 + 7p) = 0 Multiply (-8 + p) * (3 + 7p) (-8(3 + 7p) + p(3 + 7p)) = 0 ((3 * -8 + 7p * -8) + p(3 + 7p)) = 0 ((-24 + -56p) + p(3 + 7p)) = 0 (-24 + -56p + (3 * p + 7p * p)) = 0 (-24 + -56p + (3p + 7p2)) = 0 Combine like terms: -56p + 3p = -53p (-24 + -53p + 7p2) = 0 Solving -24 + -53p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (-3 + -7p)(8 + -1p) = 0Subproblem 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 '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {-0.4285714286, 8}
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