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Simplifying 10p2 + p + -24 = 0 Reorder the terms: -24 + p + 10p2 = 0 Solving -24 + p + 10p2 = 0 Solving for variable 'p'. Factor a trinomial. (-8 + -5p)(3 + -2p) = 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 '(3 + -2p)' equal to zero and attempt to solve: Simplifying 3 + -2p = 0 Solving 3 + -2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2p = 0 + -3 -2p = 0 + -3 Combine like terms: 0 + -3 = -3 -2p = -3 Divide each side by '-2'. p = 1.5 Simplifying p = 1.5Solution
p = {-1.6, 1.5}
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