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Simplifying 48p2 + 84p + -294 = 0 Reorder the terms: -294 + 84p + 48p2 = 0 Solving -294 + 84p + 48p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '6'. 6(-49 + 14p + 8p2) = 0 Factor a trinomial. 6((-7 + -2p)(7 + -4p)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-7 + -2p)' equal to zero and attempt to solve: Simplifying -7 + -2p = 0 Solving -7 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2p = 0 + 7 -2p = 0 + 7 Combine like terms: 0 + 7 = 7 -2p = 7 Divide each side by '-2'. p = -3.5 Simplifying p = -3.5Subproblem 2
Set the factor '(7 + -4p)' equal to zero and attempt to solve: Simplifying 7 + -4p = 0 Solving 7 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4p = 0 + -7 -4p = 0 + -7 Combine like terms: 0 + -7 = -7 -4p = -7 Divide each side by '-4'. p = 1.75 Simplifying p = 1.75Solution
p = {-3.5, 1.75}
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