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Simplifying (9p + -2)(-2 + 9p) = 0 Reorder the terms: (-2 + 9p)(-2 + 9p) = 0 Multiply (-2 + 9p) * (-2 + 9p) (-2(-2 + 9p) + 9p * (-2 + 9p)) = 0 ((-2 * -2 + 9p * -2) + 9p * (-2 + 9p)) = 0 ((4 + -18p) + 9p * (-2 + 9p)) = 0 (4 + -18p + (-2 * 9p + 9p * 9p)) = 0 (4 + -18p + (-18p + 81p2)) = 0 Combine like terms: -18p + -18p = -36p (4 + -36p + 81p2) = 0 Solving 4 + -36p + 81p2 = 0 Solving for variable 'p'. Factor a trinomial. (2 + -9p)(2 + -9p) = 0Subproblem 1
Set the factor '(2 + -9p)' equal to zero and attempt to solve: Simplifying 2 + -9p = 0 Solving 2 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9p = 0 + -2 -9p = 0 + -2 Combine like terms: 0 + -2 = -2 -9p = -2 Divide each side by '-9'. p = 0.2222222222 Simplifying p = 0.2222222222Subproblem 2
Set the factor '(2 + -9p)' equal to zero and attempt to solve: Simplifying 2 + -9p = 0 Solving 2 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9p = 0 + -2 -9p = 0 + -2 Combine like terms: 0 + -2 = -2 -9p = -2 Divide each side by '-9'. p = 0.2222222222 Simplifying p = 0.2222222222Solution
p = {0.2222222222, 0.2222222222}
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