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Simplifying (-3 + -4x)(2 + -3x) = 0 Multiply (-3 + -4x) * (2 + -3x) (-3(2 + -3x) + -4x * (2 + -3x)) = 0 ((2 * -3 + -3x * -3) + -4x * (2 + -3x)) = 0 ((-6 + 9x) + -4x * (2 + -3x)) = 0 (-6 + 9x + (2 * -4x + -3x * -4x)) = 0 (-6 + 9x + (-8x + 12x2)) = 0 Combine like terms: 9x + -8x = 1x (-6 + 1x + 12x2) = 0 Solving -6 + 1x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(2 + -3x) = 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 + -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 = 0.6666666667Solution
x = {-0.75, 0.6666666667}
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