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Simplifying 5p2 + -12p = 32 Reorder the terms: -12p + 5p2 = 32 Solving -12p + 5p2 = 32 Solving for variable 'p'. Reorder the terms: -32 + -12p + 5p2 = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + -12p + 5p2 = 0 Factor a trinomial. (-8 + -5p)(4 + -1p) = 0Subproblem 1
Set the factor '(-8 + -5p)' equal to zero and attempt to solve: Simplifying -8 + -5p = 0 Solving -8 + -5p = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5p = 0 + 8 -5p = 0 + 8 Combine like terms: 0 + 8 = 8 -5p = 8 Divide each side by '-5'. p = -1.6 Simplifying p = -1.6Subproblem 2
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 = 4Solution
p = {-1.6, 4}
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