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Simplifying (7p + 8)(2p + -3) = 0 Reorder the terms: (8 + 7p)(2p + -3) = 0 Reorder the terms: (8 + 7p)(-3 + 2p) = 0 Multiply (8 + 7p) * (-3 + 2p) (8(-3 + 2p) + 7p * (-3 + 2p)) = 0 ((-3 * 8 + 2p * 8) + 7p * (-3 + 2p)) = 0 ((-24 + 16p) + 7p * (-3 + 2p)) = 0 (-24 + 16p + (-3 * 7p + 2p * 7p)) = 0 (-24 + 16p + (-21p + 14p2)) = 0 Combine like terms: 16p + -21p = -5p (-24 + -5p + 14p2) = 0 Solving -24 + -5p + 14p2 = 0 Solving for variable 'p'. Factor a trinomial. (-8 + -7p)(3 + -2p) = 0Subproblem 1
Set the factor '(-8 + -7p)' equal to zero and attempt to solve: Simplifying -8 + -7p = 0 Solving -8 + -7p = 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 + -7p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7p = 0 + 8 -7p = 0 + 8 Combine like terms: 0 + 8 = 8 -7p = 8 Divide each side by '-7'. p = -1.142857143 Simplifying p = -1.142857143Subproblem 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 = {-1.142857143, 1.5}
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