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Simplifying x2 + 4x + -3(x + 2) + 6 = 0 Reorder the terms: x2 + 4x + -3(2 + x) + 6 = 0 x2 + 4x + (2 * -3 + x * -3) + 6 = 0 x2 + 4x + (-6 + -3x) + 6 = 0 Reorder the terms: -6 + 6 + 4x + -3x + x2 = 0 Combine like terms: -6 + 6 = 0 0 + 4x + -3x + x2 = 0 4x + -3x + x2 = 0 Combine like terms: 4x + -3x = 1x 1x + x2 = 0 Solving 1x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + x) = 0Subproblem 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
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