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Simplifying (5x + -8)(8x + -7) = 0 Reorder the terms: (-8 + 5x)(8x + -7) = 0 Reorder the terms: (-8 + 5x)(-7 + 8x) = 0 Multiply (-8 + 5x) * (-7 + 8x) (-8(-7 + 8x) + 5x * (-7 + 8x)) = 0 ((-7 * -8 + 8x * -8) + 5x * (-7 + 8x)) = 0 ((56 + -64x) + 5x * (-7 + 8x)) = 0 (56 + -64x + (-7 * 5x + 8x * 5x)) = 0 (56 + -64x + (-35x + 40x2)) = 0 Combine like terms: -64x + -35x = -99x (56 + -99x + 40x2) = 0 Solving 56 + -99x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -8x)(8 + -5x) = 0Subproblem 1
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 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 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Solution
x = {0.875, 1.6}
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