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Simplifying (7P + 8)(P + -5) = 0 Reorder the terms: (8 + 7P)(P + -5) = 0 Reorder the terms: (8 + 7P)(-5 + P) = 0 Multiply (8 + 7P) * (-5 + P) (8(-5 + P) + 7P * (-5 + P)) = 0 ((-5 * 8 + P * 8) + 7P * (-5 + P)) = 0 ((-40 + 8P) + 7P * (-5 + P)) = 0 (-40 + 8P + (-5 * 7P + P * 7P)) = 0 (-40 + 8P + (-35P + 7P2)) = 0 Combine like terms: 8P + -35P = -27P (-40 + -27P + 7P2) = 0 Solving -40 + -27P + 7P2 = 0 Solving for variable 'P'. Factor a trinomial. (-8 + -7P)(5 + -1P) = 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 '(5 + -1P)' equal to zero and attempt to solve: Simplifying 5 + -1P = 0 Solving 5 + -1P = 0 Move all terms containing P to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1P = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1P = 0 + -5 -1P = 0 + -5 Combine like terms: 0 + -5 = -5 -1P = -5 Divide each side by '-1'. P = 5 Simplifying P = 5Solution
P = {-1.142857143, 5}
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