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Simplifying 9x(4x + 2) + -10x = 8x + 25 Reorder the terms: 9x(2 + 4x) + -10x = 8x + 25 (2 * 9x + 4x * 9x) + -10x = 8x + 25 (18x + 36x2) + -10x = 8x + 25 Reorder the terms: 18x + -10x + 36x2 = 8x + 25 Combine like terms: 18x + -10x = 8x 8x + 36x2 = 8x + 25 Reorder the terms: 8x + 36x2 = 25 + 8x Add '-8x' to each side of the equation. 8x + -8x + 36x2 = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 0 + 36x2 = 25 + 8x + -8x 36x2 = 25 + 8x + -8x Combine like terms: 8x + -8x = 0 36x2 = 25 + 0 36x2 = 25 Solving 36x2 = 25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '36'. x2 = 0.6944444444 Simplifying x2 = 0.6944444444 Take the square root of each side: x = {-0.833333333, 0.833333333}
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