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Simplifying (3x + -2)(x + -5) + 17x = 0 Reorder the terms: (-2 + 3x)(x + -5) + 17x = 0 Reorder the terms: (-2 + 3x)(-5 + x) + 17x = 0 Multiply (-2 + 3x) * (-5 + x) (-2(-5 + x) + 3x * (-5 + x)) + 17x = 0 ((-5 * -2 + x * -2) + 3x * (-5 + x)) + 17x = 0 ((10 + -2x) + 3x * (-5 + x)) + 17x = 0 (10 + -2x + (-5 * 3x + x * 3x)) + 17x = 0 (10 + -2x + (-15x + 3x2)) + 17x = 0 Combine like terms: -2x + -15x = -17x (10 + -17x + 3x2) + 17x = 0 Reorder the terms: 10 + -17x + 17x + 3x2 = 0 Combine like terms: -17x + 17x = 0 10 + 0 + 3x2 = 0 10 + 3x2 = 0 Solving 10 + 3x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x2 = 0 + -10 3x2 = 0 + -10 Combine like terms: 0 + -10 = -10 3x2 = -10 Divide each side by '3'. x2 = -3.333333333 Simplifying x2 = -3.333333333 Reorder the terms: 3.333333333 + x2 = -3.333333333 + 3.333333333 Combine like terms: -3.333333333 + 3.333333333 = 0.000000000 3.333333333 + x2 = 0.000000000 The solution to this equation could not be determined.
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