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Simplifying (x + 4)(2x + 4) = 368 + (2x * x) Reorder the terms: (4 + x)(2x + 4) = 368 + (2x * x) Reorder the terms: (4 + x)(4 + 2x) = 368 + (2x * x) Multiply (4 + x) * (4 + 2x) (4(4 + 2x) + x(4 + 2x)) = 368 + (2x * x) ((4 * 4 + 2x * 4) + x(4 + 2x)) = 368 + (2x * x) ((16 + 8x) + x(4 + 2x)) = 368 + (2x * x) (16 + 8x + (4 * x + 2x * x)) = 368 + (2x * x) (16 + 8x + (4x + 2x2)) = 368 + (2x * x) Combine like terms: 8x + 4x = 12x (16 + 12x + 2x2) = 368 + (2x * x) Multiply x * x 16 + 12x + 2x2 = 368 + (2x2) Add '-2x2' to each side of the equation. 16 + 12x + 2x2 + -2x2 = 368 + (2x2) + -2x2 Combine like terms: 2x2 + -2x2 = 0 16 + 12x + 0 = 368 + (2x2) + -2x2 16 + 12x = 368 + (2x2) + -2x2 Combine like terms: (2x2) + -2x2 = 0 16 + 12x = 368 + 0 16 + 12x = 368 Solving 16 + 12x = 368 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 = 368 + -16 Combine like terms: 16 + -16 = 0 0 + 12x = 368 + -16 12x = 368 + -16 Combine like terms: 368 + -16 = 352 12x = 352 Divide each side by '12'. x = 29.33333333 Simplifying x = 29.33333333
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