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Simplifying p2 = -3p + 70 Reorder the terms: p2 = 70 + -3p Solving p2 = 70 + -3p Solving for variable 'p'. Reorder the terms: -70 + 3p + p2 = 70 + -3p + -70 + 3p Reorder the terms: -70 + 3p + p2 = 70 + -70 + -3p + 3p Combine like terms: 70 + -70 = 0 -70 + 3p + p2 = 0 + -3p + 3p -70 + 3p + p2 = -3p + 3p Combine like terms: -3p + 3p = 0 -70 + 3p + p2 = 0 Factor a trinomial. (-10 + -1p)(7 + -1p) = 0Subproblem 1
Set the factor '(-10 + -1p)' equal to zero and attempt to solve: Simplifying -10 + -1p = 0 Solving -10 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1p = 0 + 10 -1p = 0 + 10 Combine like terms: 0 + 10 = 10 -1p = 10 Divide each side by '-1'. p = -10 Simplifying p = -10Subproblem 2
Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 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 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7Solution
p = {-10, 7}
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