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Simplifying 5p2 + -30p = -25 Reorder the terms: -30p + 5p2 = -25 Solving -30p + 5p2 = -25 Solving for variable 'p'. Reorder the terms: 25 + -30p + 5p2 = -25 + 25 Combine like terms: -25 + 25 = 0 25 + -30p + 5p2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(5 + -6p + p2) = 0 Factor a trinomial. 5((1 + -1p)(5 + -1p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 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 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1Subproblem 2
Set the factor '(5 + -1p)' equal to zero and attempt to solve: Simplifying 5 + -1p = 0 Solving 5 + -1p = 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 + -1p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 0 + -5 -1p = 0 + -5 Combine like terms: 0 + -5 = -5 -1p = -5 Divide each side by '-1'. p = 5 Simplifying p = 5Solution
p = {1, 5}
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