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Simplifying 6x + -2(x + 3) = 5x + -1(x + 2) * x Reorder the terms: 6x + -2(3 + x) = 5x + -1(x + 2) * x 6x + (3 * -2 + x * -2) = 5x + -1(x + 2) * x 6x + (-6 + -2x) = 5x + -1(x + 2) * x Reorder the terms: -6 + 6x + -2x = 5x + -1(x + 2) * x Combine like terms: 6x + -2x = 4x -6 + 4x = 5x + -1(x + 2) * x Reorder the terms: -6 + 4x = 5x + -1(2 + x) * x Reorder the terms for easier multiplication: -6 + 4x = 5x + -1x(2 + x) -6 + 4x = 5x + (2 * -1x + x * -1x) -6 + 4x = 5x + (-2x + -1x2) Combine like terms: 5x + -2x = 3x -6 + 4x = 3x + -1x2 Solving -6 + 4x = 3x + -1x2 Solving for variable 'x'. Combine like terms: 4x + -3x = 1x -6 + 1x + x2 = 3x + -1x2 + -3x + x2 Reorder the terms: -6 + 1x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 -6 + 1x + x2 = 0 + -1x2 + x2 -6 + 1x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -6 + 1x + x2 = 0 Factor a trinomial. (-3 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. 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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