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Simplifying 2(x + 1) + -3x(x + 1) = 0 Reorder the terms: 2(1 + x) + -3x(x + 1) = 0 (1 * 2 + x * 2) + -3x(x + 1) = 0 (2 + 2x) + -3x(x + 1) = 0 Reorder the terms: 2 + 2x + -3x(1 + x) = 0 2 + 2x + (1 * -3x + x * -3x) = 0 2 + 2x + (-3x + -3x2) = 0 Combine like terms: 2x + -3x = -1x 2 + -1x + -3x2 = 0 Solving 2 + -1x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(1 + x) = 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 + 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 = -1Solution
x = {0.6666666667, -1}
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