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Simplifying x + 2 = x2 + 5x + -3 Reorder the terms: 2 + x = x2 + 5x + -3 Reorder the terms: 2 + x = -3 + 5x + x2 Solving 2 + x = -3 + 5x + x2 Solving for variable 'x'. Reorder the terms: 2 + 3 + x + -5x + -1x2 = -3 + 5x + x2 + 3 + -5x + -1x2 Combine like terms: 2 + 3 = 5 5 + x + -5x + -1x2 = -3 + 5x + x2 + 3 + -5x + -1x2 Combine like terms: x + -5x = -4x 5 + -4x + -1x2 = -3 + 5x + x2 + 3 + -5x + -1x2 Reorder the terms: 5 + -4x + -1x2 = -3 + 3 + 5x + -5x + x2 + -1x2 Combine like terms: -3 + 3 = 0 5 + -4x + -1x2 = 0 + 5x + -5x + x2 + -1x2 5 + -4x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 5 + -4x + -1x2 = 0 + x2 + -1x2 5 + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -4x + -1x2 = 0 Factor a trinomial. (1 + -1x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {1, -5}
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