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Simplifying (5x + -4)(3x + -8) = 0 Reorder the terms: (-4 + 5x)(3x + -8) = 0 Reorder the terms: (-4 + 5x)(-8 + 3x) = 0 Multiply (-4 + 5x) * (-8 + 3x) (-4(-8 + 3x) + 5x * (-8 + 3x)) = 0 ((-8 * -4 + 3x * -4) + 5x * (-8 + 3x)) = 0 ((32 + -12x) + 5x * (-8 + 3x)) = 0 (32 + -12x + (-8 * 5x + 3x * 5x)) = 0 (32 + -12x + (-40x + 15x2)) = 0 Combine like terms: -12x + -40x = -52x (32 + -52x + 15x2) = 0 Solving 32 + -52x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -5x)(8 + -3x) = 0Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {0.8, 2.666666667}
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