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Simplifying (9p + -1)(9p + -1) = 0 Reorder the terms: (-1 + 9p)(9p + -1) = 0 Reorder the terms: (-1 + 9p)(-1 + 9p) = 0 Multiply (-1 + 9p) * (-1 + 9p) (-1(-1 + 9p) + 9p * (-1 + 9p)) = 0 ((-1 * -1 + 9p * -1) + 9p * (-1 + 9p)) = 0 ((1 + -9p) + 9p * (-1 + 9p)) = 0 (1 + -9p + (-1 * 9p + 9p * 9p)) = 0 (1 + -9p + (-9p + 81p2)) = 0 Combine like terms: -9p + -9p = -18p (1 + -18p + 81p2) = 0 Solving 1 + -18p + 81p2 = 0 Solving for variable 'p'. Factor a trinomial. (1 + -9p)(1 + -9p) = 0Subproblem 1
Set the factor '(1 + -9p)' equal to zero and attempt to solve: Simplifying 1 + -9p = 0 Solving 1 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9p = 0 + -1 -9p = 0 + -1 Combine like terms: 0 + -1 = -1 -9p = -1 Divide each side by '-9'. p = 0.1111111111 Simplifying p = 0.1111111111Subproblem 2
Set the factor '(1 + -9p)' equal to zero and attempt to solve: Simplifying 1 + -9p = 0 Solving 1 + -9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9p = 0 + -1 -9p = 0 + -1 Combine like terms: 0 + -1 = -1 -9p = -1 Divide each side by '-9'. p = 0.1111111111 Simplifying p = 0.1111111111Solution
p = {0.1111111111, 0.1111111111}
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