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Simplifying (2 + -1x)(-3 + x) = 0 Multiply (2 + -1x) * (-3 + x) (2(-3 + x) + -1x * (-3 + x)) = 0 ((-3 * 2 + x * 2) + -1x * (-3 + x)) = 0 ((-6 + 2x) + -1x * (-3 + x)) = 0 (-6 + 2x + (-3 * -1x + x * -1x)) = 0 (-6 + 2x + (3x + -1x2)) = 0 Combine like terms: 2x + 3x = 5x (-6 + 5x + -1x2) = 0 Solving -6 + 5x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 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 = {3, 2}
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