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Simplifying 2x + 3 = x2 + 4x + 3 Reorder the terms: 3 + 2x = x2 + 4x + 3 Reorder the terms: 3 + 2x = 3 + 4x + x2 Add '-3' to each side of the equation. 3 + -3 + 2x = 3 + 4x + -3 + x2 Combine like terms: 3 + -3 = 0 0 + 2x = 3 + 4x + -3 + x2 2x = 3 + 4x + -3 + x2 Reorder the terms: 2x = 3 + -3 + 4x + x2 Combine like terms: 3 + -3 = 0 2x = 0 + 4x + x2 2x = 4x + x2 Solving 2x = 4x + x2 Solving for variable 'x'. Combine like terms: 2x + -4x = -2x -2x + -1x2 = 4x + x2 + -4x + -1x2 Reorder the terms: -2x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -2x + -1x2 = 0 + x2 + -1x2 -2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(2 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = {0, -2}
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