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Simplifying (3x + -2)(8x + -5) = 0 Reorder the terms: (-2 + 3x)(8x + -5) = 0 Reorder the terms: (-2 + 3x)(-5 + 8x) = 0 Multiply (-2 + 3x) * (-5 + 8x) (-2(-5 + 8x) + 3x * (-5 + 8x)) = 0 ((-5 * -2 + 8x * -2) + 3x * (-5 + 8x)) = 0 ((10 + -16x) + 3x * (-5 + 8x)) = 0 (10 + -16x + (-5 * 3x + 8x * 3x)) = 0 (10 + -16x + (-15x + 24x2)) = 0 Combine like terms: -16x + -15x = -31x (10 + -31x + 24x2) = 0 Solving 10 + -31x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -8x)(2 + -3x) = 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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.625, 0.6666666667}
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