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Simplifying 7p2 = -56 + 63p Solving 7p2 = -56 + 63p Solving for variable 'p'. Reorder the terms: 56 + -63p + 7p2 = -56 + 63p + 56 + -63p Reorder the terms: 56 + -63p + 7p2 = -56 + 56 + 63p + -63p Combine like terms: -56 + 56 = 0 56 + -63p + 7p2 = 0 + 63p + -63p 56 + -63p + 7p2 = 63p + -63p Combine like terms: 63p + -63p = 0 56 + -63p + 7p2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(8 + -9p + p2) = 0 Factor a trinomial. 7((1 + -1p)(8 + -1p)) = 0 Ignore the factor 7.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 '(8 + -1p)' equal to zero and attempt to solve: Simplifying 8 + -1p = 0 Solving 8 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1p = 0 + -8 -1p = 0 + -8 Combine like terms: 0 + -8 = -8 -1p = -8 Divide each side by '-1'. p = 8 Simplifying p = 8Solution
p = {1, 8}
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