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Simplifying 5p2 + -100 = 5p Reorder the terms: -100 + 5p2 = 5p Solving -100 + 5p2 = 5p Solving for variable 'p'. Reorder the terms: -100 + -5p + 5p2 = 5p + -5p Combine like terms: 5p + -5p = 0 -100 + -5p + 5p2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-20 + -1p + p2) = 0 Factor a trinomial. 5((-4 + -1p)(5 + -1p)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve: Simplifying -4 + -1p = 0 Solving -4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 0 + 4 -1p = 0 + 4 Combine like terms: 0 + 4 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4Subproblem 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 = {-4, 5}
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