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Simplifying (2x + 4)(x + 4) = (x)(2x) Reorder the terms: (4 + 2x)(x + 4) = (x)(2x) Reorder the terms: (4 + 2x)(4 + x) = (x)(2x) Multiply (4 + 2x) * (4 + x) (4(4 + x) + 2x * (4 + x)) = (x)(2x) ((4 * 4 + x * 4) + 2x * (4 + x)) = (x)(2x) ((16 + 4x) + 2x * (4 + x)) = (x)(2x) (16 + 4x + (4 * 2x + x * 2x)) = (x)(2x) (16 + 4x + (8x + 2x2)) = (x)(2x) Combine like terms: 4x + 8x = 12x (16 + 12x + 2x2) = (x)(2x) Remove parenthesis around (2x) 16 + 12x + 2x2 = x * 2x Reorder the terms for easier multiplication: 16 + 12x + 2x2 = 2x * x Multiply x * x 16 + 12x + 2x2 = 2x2 Add '-2x2' to each side of the equation. 16 + 12x + 2x2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 16 + 12x + 0 = 2x2 + -2x2 16 + 12x = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 16 + 12x = 0 Solving 16 + 12x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 12x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 12x = 0 + -16 12x = 0 + -16 Combine like terms: 0 + -16 = -16 12x = -16 Divide each side by '12'. x = -1.333333333 Simplifying x = -1.333333333
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