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Simplifying 3p2 + -7p + -70 = -8p Reorder the terms: -70 + -7p + 3p2 = -8p Solving -70 + -7p + 3p2 = -8p Solving for variable 'p'. Reorder the terms: -70 + -7p + 8p + 3p2 = -8p + 8p Combine like terms: -7p + 8p = 1p -70 + 1p + 3p2 = -8p + 8p Combine like terms: -8p + 8p = 0 -70 + 1p + 3p2 = 0 Factor a trinomial. (-5 + -1p)(14 + -3p) = 0Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve: Simplifying -5 + -1p = 0 Solving -5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 0 + 5 -1p = 0 + 5 Combine like terms: 0 + 5 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5Subproblem 2
Set the factor '(14 + -3p)' equal to zero and attempt to solve: Simplifying 14 + -3p = 0 Solving 14 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3p = 0 + -14 -3p = 0 + -14 Combine like terms: 0 + -14 = -14 -3p = -14 Divide each side by '-3'. p = 4.666666667 Simplifying p = 4.666666667Solution
p = {-5, 4.666666667}
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