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Simplifying (8x + -5)(7x + -5) = 0 Reorder the terms: (-5 + 8x)(7x + -5) = 0 Reorder the terms: (-5 + 8x)(-5 + 7x) = 0 Multiply (-5 + 8x) * (-5 + 7x) (-5(-5 + 7x) + 8x * (-5 + 7x)) = 0 ((-5 * -5 + 7x * -5) + 8x * (-5 + 7x)) = 0 ((25 + -35x) + 8x * (-5 + 7x)) = 0 (25 + -35x + (-5 * 8x + 7x * 8x)) = 0 (25 + -35x + (-40x + 56x2)) = 0 Combine like terms: -35x + -40x = -75x (25 + -75x + 56x2) = 0 Solving 25 + -75x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -8x)(5 + -7x) = 0Subproblem 1
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 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 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Subproblem 2
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 = 0.7142857143Solution
x = {0.625, 0.7142857143}
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