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Simplifying 8p2 + 18p = -10 Reorder the terms: 18p + 8p2 = -10 Solving 18p + 8p2 = -10 Solving for variable 'p'. Reorder the terms: 10 + 18p + 8p2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 18p + 8p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 9p + 4p2) = 0 Factor a trinomial. 2((5 + 4p)(1 + p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 4p)' equal to zero and attempt to solve: Simplifying 5 + 4p = 0 Solving 5 + 4p = 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 + 4p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4p = 0 + -5 4p = 0 + -5 Combine like terms: 0 + -5 = -5 4p = -5 Divide each side by '4'. p = -1.25 Simplifying p = -1.25Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 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 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Simplifying p = -1Solution
p = {-1.25, -1}
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