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Simplifying 4p2 + -66 = 10p Reorder the terms: -66 + 4p2 = 10p Solving -66 + 4p2 = 10p Solving for variable 'p'. Reorder the terms: -66 + -10p + 4p2 = 10p + -10p Combine like terms: 10p + -10p = 0 -66 + -10p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-33 + -5p + 2p2) = 0 Factor a trinomial. 2((-3 + -1p)(11 + -2p)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve: Simplifying -3 + -1p = 0 Solving -3 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 0 + 3 -1p = 0 + 3 Combine like terms: 0 + 3 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3Subproblem 2
Set the factor '(11 + -2p)' equal to zero and attempt to solve: Simplifying 11 + -2p = 0 Solving 11 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2p = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2p = 0 + -11 -2p = 0 + -11 Combine like terms: 0 + -11 = -11 -2p = -11 Divide each side by '-2'. p = 5.5 Simplifying p = 5.5Solution
p = {-3, 5.5}
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