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Simplifying 7p2 + -38p + -24 = 0 Reorder the terms: -24 + -38p + 7p2 = 0 Solving -24 + -38p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (-4 + -7p)(6 + -1p) = 0Subproblem 1
Set the factor '(-4 + -7p)' equal to zero and attempt to solve: Simplifying -4 + -7p = 0 Solving -4 + -7p = 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 + -7p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7p = 0 + 4 -7p = 0 + 4 Combine like terms: 0 + 4 = 4 -7p = 4 Divide each side by '-7'. p = -0.5714285714 Simplifying p = -0.5714285714Subproblem 2
Set the factor '(6 + -1p)' equal to zero and attempt to solve: Simplifying 6 + -1p = 0 Solving 6 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1p = 0 + -6 -1p = 0 + -6 Combine like terms: 0 + -6 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6Solution
p = {-0.5714285714, 6}
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