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Simplifying (x + -2)(x + 3) + -4x + 6 = 0 Reorder the terms: (-2 + x)(x + 3) + -4x + 6 = 0 Reorder the terms: (-2 + x)(3 + x) + -4x + 6 = 0 Multiply (-2 + x) * (3 + x) (-2(3 + x) + x(3 + x)) + -4x + 6 = 0 ((3 * -2 + x * -2) + x(3 + x)) + -4x + 6 = 0 ((-6 + -2x) + x(3 + x)) + -4x + 6 = 0 (-6 + -2x + (3 * x + x * x)) + -4x + 6 = 0 (-6 + -2x + (3x + x2)) + -4x + 6 = 0 Combine like terms: -2x + 3x = 1x (-6 + 1x + x2) + -4x + 6 = 0 Reorder the terms: -6 + 6 + 1x + -4x + x2 = 0 Combine like terms: -6 + 6 = 0 0 + 1x + -4x + x2 = 0 1x + -4x + x2 = 0 Combine like terms: 1x + -4x = -3x -3x + x2 = 0 Solving -3x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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