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Simplifying 63(p2 + -1) = 32p Reorder the terms: 63(-1 + p2) = 32p (-1 * 63 + p2 * 63) = 32p (-63 + 63p2) = 32p Solving -63 + 63p2 = 32p Solving for variable 'p'. Reorder the terms: -63 + -32p + 63p2 = 32p + -32p Combine like terms: 32p + -32p = 0 -63 + -32p + 63p2 = 0 Factor a trinomial. (-7 + -9p)(9 + -7p) = 0Subproblem 1
Set the factor '(-7 + -9p)' equal to zero and attempt to solve: Simplifying -7 + -9p = 0 Solving -7 + -9p = 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 + -9p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9p = 0 + 7 -9p = 0 + 7 Combine like terms: 0 + 7 = 7 -9p = 7 Divide each side by '-9'. p = -0.7777777778 Simplifying p = -0.7777777778Subproblem 2
Set the factor '(9 + -7p)' equal to zero and attempt to solve: Simplifying 9 + -7p = 0 Solving 9 + -7p = 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 + -7p = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7p = 0 + -9 -7p = 0 + -9 Combine like terms: 0 + -9 = -9 -7p = -9 Divide each side by '-7'. p = 1.285714286 Simplifying p = 1.285714286Solution
p = {-0.7777777778, 1.285714286}
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