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Simplifying x(x + 1) + -2x + 1 = 3x + -3 Reorder the terms: x(1 + x) + -2x + 1 = 3x + -3 (1 * x + x * x) + -2x + 1 = 3x + -3 (1x + x2) + -2x + 1 = 3x + -3 Reorder the terms: 1 + 1x + -2x + x2 = 3x + -3 Combine like terms: 1x + -2x = -1x 1 + -1x + x2 = 3x + -3 Reorder the terms: 1 + -1x + x2 = -3 + 3x Solving 1 + -1x + x2 = -3 + 3x Solving for variable 'x'. Reorder the terms: 1 + 3 + -1x + -3x + x2 = -3 + 3x + 3 + -3x Combine like terms: 1 + 3 = 4 4 + -1x + -3x + x2 = -3 + 3x + 3 + -3x Combine like terms: -1x + -3x = -4x 4 + -4x + x2 = -3 + 3x + 3 + -3x Reorder the terms: 4 + -4x + x2 = -3 + 3 + 3x + -3x Combine like terms: -3 + 3 = 0 4 + -4x + x2 = 0 + 3x + -3x 4 + -4x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 4 + -4x + x2 = 0 Factor a trinomial. (2 + -1x)(2 + -1x) = 0Subproblem 1
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 = 2Subproblem 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 = {2, 2}
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