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Simplifying (x + 2)(x + 12) = 4x Reorder the terms: (2 + x)(x + 12) = 4x Reorder the terms: (2 + x)(12 + x) = 4x Multiply (2 + x) * (12 + x) (2(12 + x) + x(12 + x)) = 4x ((12 * 2 + x * 2) + x(12 + x)) = 4x ((24 + 2x) + x(12 + x)) = 4x (24 + 2x + (12 * x + x * x)) = 4x (24 + 2x + (12x + x2)) = 4x Combine like terms: 2x + 12x = 14x (24 + 14x + x2) = 4x Solving 24 + 14x + x2 = 4x Solving for variable 'x'. Reorder the terms: 24 + 14x + -4x + x2 = 4x + -4x Combine like terms: 14x + -4x = 10x 24 + 10x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 24 + 10x + x2 = 0 Factor a trinomial. (6 + x)(4 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-6, -4}
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