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Simplifying 3x + -1 = 2x(x + 2) + -5 + x Reorder the terms: -1 + 3x = 2x(x + 2) + -5 + x Reorder the terms: -1 + 3x = 2x(2 + x) + -5 + x -1 + 3x = (2 * 2x + x * 2x) + -5 + x -1 + 3x = (4x + 2x2) + -5 + x Reorder the terms: -1 + 3x = -5 + 4x + x + 2x2 Combine like terms: 4x + x = 5x -1 + 3x = -5 + 5x + 2x2 Solving -1 + 3x = -5 + 5x + 2x2 Solving for variable 'x'. Reorder the terms: -1 + 5 + 3x + -5x + -2x2 = -5 + 5x + 2x2 + 5 + -5x + -2x2 Combine like terms: -1 + 5 = 4 4 + 3x + -5x + -2x2 = -5 + 5x + 2x2 + 5 + -5x + -2x2 Combine like terms: 3x + -5x = -2x 4 + -2x + -2x2 = -5 + 5x + 2x2 + 5 + -5x + -2x2 Reorder the terms: 4 + -2x + -2x2 = -5 + 5 + 5x + -5x + 2x2 + -2x2 Combine like terms: -5 + 5 = 0 4 + -2x + -2x2 = 0 + 5x + -5x + 2x2 + -2x2 4 + -2x + -2x2 = 5x + -5x + 2x2 + -2x2 Combine like terms: 5x + -5x = 0 4 + -2x + -2x2 = 0 + 2x2 + -2x2 4 + -2x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 4 + -2x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -1x + -1x2) = 0 Factor a trinomial. 2((1 + -1x)(2 + x)) = 0 Ignore the factor 2.Subproblem 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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