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Simplifying (2x + -3)(4 + -1x) = 0 Reorder the terms: (-3 + 2x)(4 + -1x) = 0 Multiply (-3 + 2x) * (4 + -1x) (-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. (-4 + x)(3 + -2x) = 0Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 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 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
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 = 1.5Solution
x = {4, 1.5}
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