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Simplifying 72(p2 + -1) = 17p Reorder the terms: 72(-1 + p2) = 17p (-1 * 72 + p2 * 72) = 17p (-72 + 72p2) = 17p Solving -72 + 72p2 = 17p Solving for variable 'p'. Reorder the terms: -72 + -17p + 72p2 = 17p + -17p Combine like terms: 17p + -17p = 0 -72 + -17p + 72p2 = 0 Factor a trinomial. (-8 + -9p)(9 + -8p) = 0Subproblem 1
Set the factor '(-8 + -9p)' equal to zero and attempt to solve: Simplifying -8 + -9p = 0 Solving -8 + -9p = 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 + -9p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9p = 0 + 8 -9p = 0 + 8 Combine like terms: 0 + 8 = 8 -9p = 8 Divide each side by '-9'. p = -0.8888888889 Simplifying p = -0.8888888889Subproblem 2
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 = 1.125Solution
p = {-0.8888888889, 1.125}
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