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Simplifying 15p2 + -13p + -22 = -2 Reorder the terms: -22 + -13p + 15p2 = -2 Solving -22 + -13p + 15p2 = -2 Solving for variable 'p'. Reorder the terms: -22 + 2 + -13p + 15p2 = -2 + 2 Combine like terms: -22 + 2 = -20 -20 + -13p + 15p2 = -2 + 2 Combine like terms: -2 + 2 = 0 -20 + -13p + 15p2 = 0 Factor a trinomial. (-4 + -5p)(5 + -3p) = 0Subproblem 1
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 = -0.8Subproblem 2
Set the factor '(5 + -3p)' equal to zero and attempt to solve: Simplifying 5 + -3p = 0 Solving 5 + -3p = 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 + -3p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3p = 0 + -5 -3p = 0 + -5 Combine like terms: 0 + -5 = -5 -3p = -5 Divide each side by '-3'. p = 1.666666667 Simplifying p = 1.666666667Solution
p = {-0.8, 1.666666667}
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