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Simplifying (x + 3)(x + 4) + -2(x + 6) = 0 Reorder the terms: (3 + x)(x + 4) + -2(x + 6) = 0 Reorder the terms: (3 + x)(4 + x) + -2(x + 6) = 0 Multiply (3 + x) * (4 + x) (3(4 + x) + x(4 + x)) + -2(x + 6) = 0 ((4 * 3 + x * 3) + x(4 + x)) + -2(x + 6) = 0 ((12 + 3x) + x(4 + x)) + -2(x + 6) = 0 (12 + 3x + (4 * x + x * x)) + -2(x + 6) = 0 (12 + 3x + (4x + x2)) + -2(x + 6) = 0 Combine like terms: 3x + 4x = 7x (12 + 7x + x2) + -2(x + 6) = 0 Reorder the terms: 12 + 7x + x2 + -2(6 + x) = 0 12 + 7x + x2 + (6 * -2 + x * -2) = 0 12 + 7x + x2 + (-12 + -2x) = 0 Reorder the terms: 12 + -12 + 7x + -2x + x2 = 0 Combine like terms: 12 + -12 = 0 0 + 7x + -2x + x2 = 0 7x + -2x + x2 = 0 Combine like terms: 7x + -2x = 5x 5x + x2 = 0 Solving 5x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 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 '(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 = {0, -5}
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