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Simplifying (3x + -4)(6x + -5) = 0 Reorder the terms: (-4 + 3x)(6x + -5) = 0 Reorder the terms: (-4 + 3x)(-5 + 6x) = 0 Multiply (-4 + 3x) * (-5 + 6x) (-4(-5 + 6x) + 3x * (-5 + 6x)) = 0 ((-5 * -4 + 6x * -4) + 3x * (-5 + 6x)) = 0 ((20 + -24x) + 3x * (-5 + 6x)) = 0 (20 + -24x + (-5 * 3x + 6x * 3x)) = 0 (20 + -24x + (-15x + 18x2)) = 0 Combine like terms: -24x + -15x = -39x (20 + -39x + 18x2) = 0 Solving 20 + -39x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -6x)(4 + -3x) = 0Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0.8333333333, 1.333333333}
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