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Simplifying (5p + -4)(7p + 8) = 0 Reorder the terms: (-4 + 5p)(7p + 8) = 0 Reorder the terms: (-4 + 5p)(8 + 7p) = 0 Multiply (-4 + 5p) * (8 + 7p) (-4(8 + 7p) + 5p * (8 + 7p)) = 0 ((8 * -4 + 7p * -4) + 5p * (8 + 7p)) = 0 ((-32 + -28p) + 5p * (8 + 7p)) = 0 (-32 + -28p + (8 * 5p + 7p * 5p)) = 0 (-32 + -28p + (40p + 35p2)) = 0 Combine like terms: -28p + 40p = 12p (-32 + 12p + 35p2) = 0 Solving -32 + 12p + 35p2 = 0 Solving for variable 'p'. Factor a trinomial. (-8 + -7p)(4 + -5p) = 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 '(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 = 0.8Solution
p = {-1.142857143, 0.8}
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