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Simplifying x[2x + -1(3 + -1x)] + -3(x + -1) = 0 x[2x + (3 * -1 + -1x * -1)] + -3(x + -1) = 0 x[2x + (-3 + 1x)] + -3(x + -1) = 0 Reorder the terms: x[-3 + 2x + 1x] + -3(x + -1) = 0 Combine like terms: 2x + 1x = 3x x[-3 + 3x] + -3(x + -1) = 0 [-3 * x + 3x * x] + -3(x + -1) = 0 [-3x + 3x2] + -3(x + -1) = 0 Reorder the terms: -3x + 3x2 + -3(-1 + x) = 0 -3x + 3x2 + (-1 * -3 + x * -3) = 0 -3x + 3x2 + (3 + -3x) = 0 Reorder the terms: 3 + -3x + -3x + 3x2 = 0 Combine like terms: -3x + -3x = -6x 3 + -6x + 3x2 = 0 Solving 3 + -6x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1 + -2x + x2) = 0 Factor a trinomial. 3((1 + -1x)(1 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = 1Subproblem 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, 1}
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