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Simplifying (3x + 2)(4 + -1x) = 0 Reorder the terms: (2 + 3x)(4 + -1x) = 0 Multiply (2 + 3x) * (4 + -1x) (2(4 + -1x) + 3x * (4 + -1x)) = 0 ((4 * 2 + -1x * 2) + 3x * (4 + -1x)) = 0 ((8 + -2x) + 3x * (4 + -1x)) = 0 (8 + -2x + (4 * 3x + -1x * 3x)) = 0 (8 + -2x + (12x + -3x2)) = 0 Combine like terms: -2x + 12x = 10x (8 + 10x + -3x2) = 0 Solving 8 + 10x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(2 + 3x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 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 = {4, -0.6666666667}
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