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Simplifying 4p2 + -10p + -104 = 0 Reorder the terms: -104 + -10p + 4p2 = 0 Solving -104 + -10p + 4p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '2'. 2(-52 + -5p + 2p2) = 0 Factor a trinomial. 2((-4 + -1p)(13 + -2p)) = 0 Ignore the factor 2.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 '(13 + -2p)' equal to zero and attempt to solve: Simplifying 13 + -2p = 0 Solving 13 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2p = 0 + -13 -2p = 0 + -13 Combine like terms: 0 + -13 = -13 -2p = -13 Divide each side by '-2'. p = 6.5 Simplifying p = 6.5Solution
p = {-4, 6.5}
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