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Simplifying (4x + -3)(x + -2) = 0 Reorder the terms: (-3 + 4x)(x + -2) = 0 Reorder the terms: (-3 + 4x)(-2 + x) = 0 Multiply (-3 + 4x) * (-2 + x) (-3(-2 + x) + 4x * (-2 + x)) = 0 ((-2 * -3 + x * -3) + 4x * (-2 + x)) = 0 ((6 + -3x) + 4x * (-2 + x)) = 0 (6 + -3x + (-2 * 4x + x * 4x)) = 0 (6 + -3x + (-8x + 4x2)) = 0 Combine like terms: -3x + -8x = -11x (6 + -11x + 4x2) = 0 Solving 6 + -11x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -4x)(2 + -1x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.75, 2}
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