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Simplifying 3(4 + -1x) + -2x(4 + -1x) = 0 (4 * 3 + -1x * 3) + -2x(4 + -1x) = 0 (12 + -3x) + -2x(4 + -1x) = 0 12 + -3x + (4 * -2x + -1x * -2x) = 0 12 + -3x + (-8x + 2x2) = 0 Combine like terms: -3x + -8x = -11x 12 + -11x + 2x2 = 0 Solving 12 + -11x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(4 + -1x) = 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 + -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 = 4Solution
x = {1.5, 4}
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