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Simplifying (-2 + -3x)(1 + -4x) = 0 Multiply (-2 + -3x) * (1 + -4x) (-2(1 + -4x) + -3x * (1 + -4x)) = 0 ((1 * -2 + -4x * -2) + -3x * (1 + -4x)) = 0 ((-2 + 8x) + -3x * (1 + -4x)) = 0 (-2 + 8x + (1 * -3x + -4x * -3x)) = 0 (-2 + 8x + (-3x + 12x2)) = 0 Combine like terms: 8x + -3x = 5x (-2 + 5x + 12x2) = 0 Solving -2 + 5x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -3x)(1 + -4x) = 0Subproblem 1
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 = -0.6666666667Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-0.6666666667, 0.25}
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