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Simplifying 28p2 + -108p + -14 = 2 Reorder the terms: -14 + -108p + 28p2 = 2 Solving -14 + -108p + 28p2 = 2 Solving for variable 'p'. Reorder the terms: -14 + -2 + -108p + 28p2 = 2 + -2 Combine like terms: -14 + -2 = -16 -16 + -108p + 28p2 = 2 + -2 Combine like terms: 2 + -2 = 0 -16 + -108p + 28p2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4 + -27p + 7p2) = 0 Factor a trinomial. 4((-1 + -7p)(4 + -1p)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -7p)' equal to zero and attempt to solve: Simplifying -1 + -7p = 0 Solving -1 + -7p = 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 + -7p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7p = 0 + 1 -7p = 0 + 1 Combine like terms: 0 + 1 = 1 -7p = 1 Divide each side by '-7'. p = -0.1428571429 Simplifying p = -0.1428571429Subproblem 2
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 = 4Solution
p = {-0.1428571429, 4}
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