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Simplifying (3x + -4)(-1x + 1) = 0 Reorder the terms: (-4 + 3x)(-1x + 1) = 0 Reorder the terms: (-4 + 3x)(1 + -1x) = 0 Multiply (-4 + 3x) * (1 + -1x) (-4(1 + -1x) + 3x * (1 + -1x)) = 0 ((1 * -4 + -1x * -4) + 3x * (1 + -1x)) = 0 ((-4 + 4x) + 3x * (1 + -1x)) = 0 (-4 + 4x + (1 * 3x + -1x * 3x)) = 0 (-4 + 4x + (3x + -3x2)) = 0 Combine like terms: 4x + 3x = 7x (-4 + 7x + -3x2) = 0 Solving -4 + 7x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + 3x)(1 + -1x) = 0Subproblem 1
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 = 1.333333333Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {1.333333333, 1}
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