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