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Simplifying (5x + -2)(7x + 8) = 0 Reorder the terms: (-2 + 5x)(7x + 8) = 0 Reorder the terms: (-2 + 5x)(8 + 7x) = 0 Multiply (-2 + 5x) * (8 + 7x) (-2(8 + 7x) + 5x * (8 + 7x)) = 0 ((8 * -2 + 7x * -2) + 5x * (8 + 7x)) = 0 ((-16 + -14x) + 5x * (8 + 7x)) = 0 (-16 + -14x + (8 * 5x + 7x * 5x)) = 0 (-16 + -14x + (40x + 35x2)) = 0 Combine like terms: -14x + 40x = 26x (-16 + 26x + 35x2) = 0 Solving -16 + 26x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -7x)(2 + -5x) = 0Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-1.142857143, 0.4}
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