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Simplifying -5x + 5 = x2 + -4x + 3 Reorder the terms: 5 + -5x = x2 + -4x + 3 Reorder the terms: 5 + -5x = 3 + -4x + x2 Solving 5 + -5x = 3 + -4x + x2 Solving for variable 'x'. Reorder the terms: 5 + -3 + -5x + 4x + -1x2 = 3 + -4x + x2 + -3 + 4x + -1x2 Combine like terms: 5 + -3 = 2 2 + -5x + 4x + -1x2 = 3 + -4x + x2 + -3 + 4x + -1x2 Combine like terms: -5x + 4x = -1x 2 + -1x + -1x2 = 3 + -4x + x2 + -3 + 4x + -1x2 Reorder the terms: 2 + -1x + -1x2 = 3 + -3 + -4x + 4x + x2 + -1x2 Combine like terms: 3 + -3 = 0 2 + -1x + -1x2 = 0 + -4x + 4x + x2 + -1x2 2 + -1x + -1x2 = -4x + 4x + x2 + -1x2 Combine like terms: -4x + 4x = 0 2 + -1x + -1x2 = 0 + x2 + -1x2 2 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + -1x + -1x2 = 0 Factor a trinomial. (1 + -1x)(2 + x) = 0Subproblem 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {1, -2}
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