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Simplifying (2x + -3)(5x + -1) + -5x(2x + -3) + 16x = 0 Reorder the terms: (-3 + 2x)(5x + -1) + -5x(2x + -3) + 16x = 0 Reorder the terms: (-3 + 2x)(-1 + 5x) + -5x(2x + -3) + 16x = 0 Multiply (-3 + 2x) * (-1 + 5x) (-3(-1 + 5x) + 2x * (-1 + 5x)) + -5x(2x + -3) + 16x = 0 ((-1 * -3 + 5x * -3) + 2x * (-1 + 5x)) + -5x(2x + -3) + 16x = 0 ((3 + -15x) + 2x * (-1 + 5x)) + -5x(2x + -3) + 16x = 0 (3 + -15x + (-1 * 2x + 5x * 2x)) + -5x(2x + -3) + 16x = 0 (3 + -15x + (-2x + 10x2)) + -5x(2x + -3) + 16x = 0 Combine like terms: -15x + -2x = -17x (3 + -17x + 10x2) + -5x(2x + -3) + 16x = 0 Reorder the terms: 3 + -17x + 10x2 + -5x(-3 + 2x) + 16x = 0 3 + -17x + 10x2 + (-3 * -5x + 2x * -5x) + 16x = 0 3 + -17x + 10x2 + (15x + -10x2) + 16x = 0 Reorder the terms: 3 + -17x + 15x + 16x + 10x2 + -10x2 = 0 Combine like terms: -17x + 15x = -2x 3 + -2x + 16x + 10x2 + -10x2 = 0 Combine like terms: -2x + 16x = 14x 3 + 14x + 10x2 + -10x2 = 0 Combine like terms: 10x2 + -10x2 = 0 3 + 14x + 0 = 0 3 + 14x = 0 Solving 3 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 14x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 0 + -3 14x = 0 + -3 Combine like terms: 0 + -3 = -3 14x = -3 Divide each side by '14'. x = -0.2142857143 Simplifying x = -0.2142857143
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