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