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Simplifying 4p2 = -9p + 28 Reorder the terms: 4p2 = 28 + -9p Solving 4p2 = 28 + -9p Solving for variable 'p'. Reorder the terms: -28 + 9p + 4p2 = 28 + -9p + -28 + 9p Reorder the terms: -28 + 9p + 4p2 = 28 + -28 + -9p + 9p Combine like terms: 28 + -28 = 0 -28 + 9p + 4p2 = 0 + -9p + 9p -28 + 9p + 4p2 = -9p + 9p Combine like terms: -9p + 9p = 0 -28 + 9p + 4p2 = 0 Factor a trinomial. (-4 + -1p)(7 + -4p) = 0Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve: Simplifying -4 + -1p = 0 Solving -4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 0 + 4 -1p = 0 + 4 Combine like terms: 0 + 4 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4Subproblem 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 = {-4, 1.75}
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