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Simplifying (x + -80)(7x + 5) = 0 Reorder the terms: (-80 + x)(7x + 5) = 0 Reorder the terms: (-80 + x)(5 + 7x) = 0 Multiply (-80 + x) * (5 + 7x) (-80(5 + 7x) + x(5 + 7x)) = 0 ((5 * -80 + 7x * -80) + x(5 + 7x)) = 0 ((-400 + -560x) + x(5 + 7x)) = 0 (-400 + -560x + (5 * x + 7x * x)) = 0 (-400 + -560x + (5x + 7x2)) = 0 Combine like terms: -560x + 5x = -555x (-400 + -555x + 7x2) = 0 Solving -400 + -555x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -7x)(80 + -1x) = 0Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve: Simplifying -5 + -7x = 0 Solving -5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve: Simplifying 80 + -1x = 0 Solving 80 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -1x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -1x = 0 + -80 -1x = 0 + -80 Combine like terms: 0 + -80 = -80 -1x = -80 Divide each side by '-1'. x = 80 Simplifying x = 80Solution
x = {-0.7142857143, 80}
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