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Simplifying 4p2 + -21p + -18 = 0 Reorder the terms: -18 + -21p + 4p2 = 0 Solving -18 + -21p + 4p2 = 0 Solving for variable 'p'. Factor a trinomial. (-3 + -4p)(6 + -1p) = 0Subproblem 1
Set the factor '(-3 + -4p)' equal to zero and attempt to solve: Simplifying -3 + -4p = 0 Solving -3 + -4p = 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 + -4p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4p = 0 + 3 -4p = 0 + 3 Combine like terms: 0 + 3 = 3 -4p = 3 Divide each side by '-4'. p = -0.75 Simplifying p = -0.75Subproblem 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 = {-0.75, 6}
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