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Simplifying 56(p2 + -1) = 15p Reorder the terms: 56(-1 + p2) = 15p (-1 * 56 + p2 * 56) = 15p (-56 + 56p2) = 15p Solving -56 + 56p2 = 15p Solving for variable 'p'. Reorder the terms: -56 + -15p + 56p2 = 15p + -15p Combine like terms: 15p + -15p = 0 -56 + -15p + 56p2 = 0 Factor a trinomial. (-7 + -8p)(8 + -7p) = 0Subproblem 1
Set the factor '(-7 + -8p)' equal to zero and attempt to solve: Simplifying -7 + -8p = 0 Solving -7 + -8p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8p = 0 + 7 -8p = 0 + 7 Combine like terms: 0 + 7 = 7 -8p = 7 Divide each side by '-8'. p = -0.875 Simplifying p = -0.875Subproblem 2
Set the factor '(8 + -7p)' equal to zero and attempt to solve: Simplifying 8 + -7p = 0 Solving 8 + -7p = 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 + -7p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7p = 0 + -8 -7p = 0 + -8 Combine like terms: 0 + -8 = -8 -7p = -8 Divide each side by '-7'. p = 1.142857143 Simplifying p = 1.142857143Solution
p = {-0.875, 1.142857143}
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