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Simplifying (3x + -4) = (6x + -8)(x + -1) Reorder the terms: (-4 + 3x) = (6x + -8)(x + -1) Remove parenthesis around (-4 + 3x) -4 + 3x = (6x + -8)(x + -1) Reorder the terms: -4 + 3x = (-8 + 6x)(x + -1) Reorder the terms: -4 + 3x = (-8 + 6x)(-1 + x) Multiply (-8 + 6x) * (-1 + x) -4 + 3x = (-8(-1 + x) + 6x * (-1 + x)) -4 + 3x = ((-1 * -8 + x * -8) + 6x * (-1 + x)) -4 + 3x = ((8 + -8x) + 6x * (-1 + x)) -4 + 3x = (8 + -8x + (-1 * 6x + x * 6x)) -4 + 3x = (8 + -8x + (-6x + 6x2)) Combine like terms: -8x + -6x = -14x -4 + 3x = (8 + -14x + 6x2) Solving -4 + 3x = 8 + -14x + 6x2 Solving for variable 'x'. Reorder the terms: -4 + -8 + 3x + 14x + -6x2 = 8 + -14x + 6x2 + -8 + 14x + -6x2 Combine like terms: -4 + -8 = -12 -12 + 3x + 14x + -6x2 = 8 + -14x + 6x2 + -8 + 14x + -6x2 Combine like terms: 3x + 14x = 17x -12 + 17x + -6x2 = 8 + -14x + 6x2 + -8 + 14x + -6x2 Reorder the terms: -12 + 17x + -6x2 = 8 + -8 + -14x + 14x + 6x2 + -6x2 Combine like terms: 8 + -8 = 0 -12 + 17x + -6x2 = 0 + -14x + 14x + 6x2 + -6x2 -12 + 17x + -6x2 = -14x + 14x + 6x2 + -6x2 Combine like terms: -14x + 14x = 0 -12 + 17x + -6x2 = 0 + 6x2 + -6x2 -12 + 17x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -12 + 17x + -6x2 = 0 Factor a trinomial. (-3 + 2x)(4 + -3x) = 0Subproblem 1
Set the factor '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 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 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5Subproblem 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 = {1.5, 1.333333333}
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