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Simplifying 11p2 + 16p + -16 = 6p2 Reorder the terms: -16 + 16p + 11p2 = 6p2 Solving -16 + 16p + 11p2 = 6p2 Solving for variable 'p'. Combine like terms: 11p2 + -6p2 = 5p2 -16 + 16p + 5p2 = 6p2 + -6p2 Combine like terms: 6p2 + -6p2 = 0 -16 + 16p + 5p2 = 0 Factor a trinomial. (-4 + -1p)(4 + -5p) = 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 '(4 + -5p)' equal to zero and attempt to solve: Simplifying 4 + -5p = 0 Solving 4 + -5p = 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 + -5p = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5p = 0 + -4 -5p = 0 + -4 Combine like terms: 0 + -4 = -4 -5p = -4 Divide each side by '-5'. p = 0.8 Simplifying p = 0.8Solution
p = {-4, 0.8}
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