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Simplifying 36(p2 + -1) = 65p Reorder the terms: 36(-1 + p2) = 65p (-1 * 36 + p2 * 36) = 65p (-36 + 36p2) = 65p Solving -36 + 36p2 = 65p Solving for variable 'p'. Reorder the terms: -36 + -65p + 36p2 = 65p + -65p Combine like terms: 65p + -65p = 0 -36 + -65p + 36p2 = 0 Factor a trinomial. (-4 + -9p)(9 + -4p) = 0Subproblem 1
Set the factor '(-4 + -9p)' equal to zero and attempt to solve: Simplifying -4 + -9p = 0 Solving -4 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9p = 0 + 4 -9p = 0 + 4 Combine like terms: 0 + 4 = 4 -9p = 4 Divide each side by '-9'. p = -0.4444444444 Simplifying p = -0.4444444444Subproblem 2
Set the factor '(9 + -4p)' equal to zero and attempt to solve: Simplifying 9 + -4p = 0 Solving 9 + -4p = 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 + -4p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4p = 0 + -9 -4p = 0 + -9 Combine like terms: 0 + -9 = -9 -4p = -9 Divide each side by '-4'. p = 2.25 Simplifying p = 2.25Solution
p = {-0.4444444444, 2.25}
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