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Simplifying 10p2 + 83p + -63 = 0 Reorder the terms: -63 + 83p + 10p2 = 0 Solving -63 + 83p + 10p2 = 0 Solving for variable 'p'. Factor a trinomial. (-9 + -1p)(7 + -10p) = 0Subproblem 1
Set the factor '(-9 + -1p)' equal to zero and attempt to solve: Simplifying -9 + -1p = 0 Solving -9 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1p = 0 + 9 -1p = 0 + 9 Combine like terms: 0 + 9 = 9 -1p = 9 Divide each side by '-1'. p = -9 Simplifying p = -9Subproblem 2
Set the factor '(7 + -10p)' equal to zero and attempt to solve: Simplifying 7 + -10p = 0 Solving 7 + -10p = 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 + -10p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10p = 0 + -7 -10p = 0 + -7 Combine like terms: 0 + -7 = -7 -10p = -7 Divide each side by '-10'. p = 0.7 Simplifying p = 0.7Solution
p = {-9, 0.7}
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