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Simplifying (15 * 2x)(8 * 2x) + -15 * 8 = 0 Multiply 15 * 2 (30x)(8 * 2x) + -15 * 8 = 0 Remove parenthesis around (30x) 30x(8 * 2x) + -15 * 8 = 0 Multiply 8 * 2 30x(16x) + -15 * 8 = 0 Remove parenthesis around (16x) 30x * 16x + -15 * 8 = 0 Reorder the terms for easier multiplication: 30 * 16x * x + -15 * 8 = 0 Multiply 30 * 16 480x * x + -15 * 8 = 0 Multiply x * x 480x2 + -15 * 8 = 0 Multiply -15 * 8 480x2 + -120 = 0 Reorder the terms: -120 + 480x2 = 0 Solving -120 + 480x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 480x2 = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 480x2 = 0 + 120 480x2 = 0 + 120 Combine like terms: 0 + 120 = 120 480x2 = 120 Divide each side by '480'. x2 = 0.25 Simplifying x2 = 0.25 Take the square root of each side: x = {-0.5, 0.5}
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