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Simplifying 9p(9p + 10) + 25 = 0 Reorder the terms: 9p(10 + 9p) + 25 = 0 (10 * 9p + 9p * 9p) + 25 = 0 (90p + 81p2) + 25 = 0 Reorder the terms: 25 + 90p + 81p2 = 0 Solving 25 + 90p + 81p2 = 0 Solving for variable 'p'. Factor a trinomial. (5 + 9p)(5 + 9p) = 0Subproblem 1
Set the factor '(5 + 9p)' equal to zero and attempt to solve: Simplifying 5 + 9p = 0 Solving 5 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9p = 0 + -5 9p = 0 + -5 Combine like terms: 0 + -5 = -5 9p = -5 Divide each side by '9'. p = -0.5555555556 Simplifying p = -0.5555555556Subproblem 2
Set the factor '(5 + 9p)' equal to zero and attempt to solve: Simplifying 5 + 9p = 0 Solving 5 + 9p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9p = 0 + -5 9p = 0 + -5 Combine like terms: 0 + -5 = -5 9p = -5 Divide each side by '9'. p = -0.5555555556 Simplifying p = -0.5555555556Solution
p = {-0.5555555556, -0.5555555556}
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