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Simplifying (3x + -8)(3x + -5) = 0 Reorder the terms: (-8 + 3x)(3x + -5) = 0 Reorder the terms: (-8 + 3x)(-5 + 3x) = 0 Multiply (-8 + 3x) * (-5 + 3x) (-8(-5 + 3x) + 3x * (-5 + 3x)) = 0 ((-5 * -8 + 3x * -8) + 3x * (-5 + 3x)) = 0 ((40 + -24x) + 3x * (-5 + 3x)) = 0 (40 + -24x + (-5 * 3x + 3x * 3x)) = 0 (40 + -24x + (-15x + 9x2)) = 0 Combine like terms: -24x + -15x = -39x (40 + -39x + 9x2) = 0 Solving 40 + -39x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -3x)(8 + -3x) = 0Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 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 = {1.666666667, 2.666666667}
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