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Simplifying (2x + 10)(2x + 7) + -2x(2x) = 342 Reorder the terms: (10 + 2x)(2x + 7) + -2x(2x) = 342 Reorder the terms: (10 + 2x)(7 + 2x) + -2x(2x) = 342 Multiply (10 + 2x) * (7 + 2x) (10(7 + 2x) + 2x * (7 + 2x)) + -2x(2x) = 342 ((7 * 10 + 2x * 10) + 2x * (7 + 2x)) + -2x(2x) = 342 ((70 + 20x) + 2x * (7 + 2x)) + -2x(2x) = 342 (70 + 20x + (7 * 2x + 2x * 2x)) + -2x(2x) = 342 (70 + 20x + (14x + 4x2)) + -2x(2x) = 342 Combine like terms: 20x + 14x = 34x (70 + 34x + 4x2) + -2x(2x) = 342 Remove parenthesis around (2x) 70 + 34x + 4x2 + -2x * 2x = 342 Reorder the terms for easier multiplication: 70 + 34x + 4x2 + -2 * 2x * x = 342 Multiply -2 * 2 70 + 34x + 4x2 + -4x * x = 342 Multiply x * x 70 + 34x + 4x2 + -4x2 = 342 Combine like terms: 4x2 + -4x2 = 0 70 + 34x + 0 = 342 70 + 34x = 342 Solving 70 + 34x = 342 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 34x = 342 + -70 Combine like terms: 70 + -70 = 0 0 + 34x = 342 + -70 34x = 342 + -70 Combine like terms: 342 + -70 = 272 34x = 272 Divide each side by '34'. x = 8 Simplifying x = 8
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