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Simplifying (x + 13)(-2x + 2) + 24x = 0 Reorder the terms: (13 + x)(-2x + 2) + 24x = 0 Reorder the terms: (13 + x)(2 + -2x) + 24x = 0 Multiply (13 + x) * (2 + -2x) (13(2 + -2x) + x(2 + -2x)) + 24x = 0 ((2 * 13 + -2x * 13) + x(2 + -2x)) + 24x = 0 ((26 + -26x) + x(2 + -2x)) + 24x = 0 (26 + -26x + (2 * x + -2x * x)) + 24x = 0 (26 + -26x + (2x + -2x2)) + 24x = 0 Combine like terms: -26x + 2x = -24x (26 + -24x + -2x2) + 24x = 0 Reorder the terms: 26 + -24x + 24x + -2x2 = 0 Combine like terms: -24x + 24x = 0 26 + 0 + -2x2 = 0 26 + -2x2 = 0 Solving 26 + -2x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -2x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -2x2 = 0 + -26 -2x2 = 0 + -26 Combine like terms: 0 + -26 = -26 -2x2 = -26 Divide each side by '-2'. x2 = 13 Simplifying x2 = 13 Take the square root of each side: x = {-3.605551275, 3.605551275}
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