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Simplifying (4x + -3)(8x + -13) = 0 Reorder the terms: (-3 + 4x)(8x + -13) = 0 Reorder the terms: (-3 + 4x)(-13 + 8x) = 0 Multiply (-3 + 4x) * (-13 + 8x) (-3(-13 + 8x) + 4x * (-13 + 8x)) = 0 ((-13 * -3 + 8x * -3) + 4x * (-13 + 8x)) = 0 ((39 + -24x) + 4x * (-13 + 8x)) = 0 (39 + -24x + (-13 * 4x + 8x * 4x)) = 0 (39 + -24x + (-52x + 32x2)) = 0 Combine like terms: -24x + -52x = -76x (39 + -76x + 32x2) = 0 Solving 39 + -76x + 32x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -4x)(13 + -8x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(13 + -8x)' equal to zero and attempt to solve: Simplifying 13 + -8x = 0 Solving 13 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 0 + -13 -8x = 0 + -13 Combine like terms: 0 + -13 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625Solution
x = {0.75, 1.625}
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