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Simplifying (7p + -8)(8p + 9) = 0 Reorder the terms: (-8 + 7p)(8p + 9) = 0 Reorder the terms: (-8 + 7p)(9 + 8p) = 0 Multiply (-8 + 7p) * (9 + 8p) (-8(9 + 8p) + 7p * (9 + 8p)) = 0 ((9 * -8 + 8p * -8) + 7p * (9 + 8p)) = 0 ((-72 + -64p) + 7p * (9 + 8p)) = 0 (-72 + -64p + (9 * 7p + 8p * 7p)) = 0 (-72 + -64p + (63p + 56p2)) = 0 Combine like terms: -64p + 63p = -1p (-72 + -1p + 56p2) = 0 Solving -72 + -1p + 56p2 = 0 Solving for variable 'p'. Factor a trinomial. (-9 + -8p)(8 + -7p) = 0Subproblem 1
Set the factor '(-9 + -8p)' equal to zero and attempt to solve: Simplifying -9 + -8p = 0 Solving -9 + -8p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -8p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8p = 0 + 9 -8p = 0 + 9 Combine like terms: 0 + 9 = 9 -8p = 9 Divide each side by '-8'. p = -1.125 Simplifying p = -1.125Subproblem 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 = {-1.125, 1.142857143}
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