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Simplifying 5p = 5p2 + -10 Reorder the terms: 5p = -10 + 5p2 Solving 5p = -10 + 5p2 Solving for variable 'p'. Reorder the terms: 10 + 5p + -5p2 = -10 + 5p2 + 10 + -5p2 Reorder the terms: 10 + 5p + -5p2 = -10 + 10 + 5p2 + -5p2 Combine like terms: -10 + 10 = 0 10 + 5p + -5p2 = 0 + 5p2 + -5p2 10 + 5p + -5p2 = 5p2 + -5p2 Combine like terms: 5p2 + -5p2 = 0 10 + 5p + -5p2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(2 + p + -1p2) = 0 Factor a trinomial. 5((2 + -1p)(1 + p)) = 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 + 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 = {2, -1}
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