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Simplifying (2x + -3)(x + -1) = x(x + -5) Reorder the terms: (-3 + 2x)(x + -1) = x(x + -5) Reorder the terms: (-3 + 2x)(-1 + x) = x(x + -5) Multiply (-3 + 2x) * (-1 + x) (-3(-1 + x) + 2x * (-1 + x)) = x(x + -5) ((-1 * -3 + x * -3) + 2x * (-1 + x)) = x(x + -5) ((3 + -3x) + 2x * (-1 + x)) = x(x + -5) (3 + -3x + (-1 * 2x + x * 2x)) = x(x + -5) (3 + -3x + (-2x + 2x2)) = x(x + -5) Combine like terms: -3x + -2x = -5x (3 + -5x + 2x2) = x(x + -5) Reorder the terms: 3 + -5x + 2x2 = x(-5 + x) 3 + -5x + 2x2 = (-5 * x + x * x) 3 + -5x + 2x2 = (-5x + x2) Add '5x' to each side of the equation. 3 + -5x + 5x + 2x2 = -5x + 5x + x2 Combine like terms: -5x + 5x = 0 3 + 0 + 2x2 = -5x + 5x + x2 3 + 2x2 = -5x + 5x + x2 Combine like terms: -5x + 5x = 0 3 + 2x2 = 0 + x2 3 + 2x2 = x2 Solving 3 + 2x2 = x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x2' to each side of the equation. 3 + 2x2 + -1x2 = x2 + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 3 + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + 1x2 = 0 Add '-3' to each side of the equation. 3 + -3 + 1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1x2 = 0 + -3 1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 1x2 = -3 Divide each side by '1'. x2 = -3 Simplifying x2 = -3 Reorder the terms: 3 + x2 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + x2 = 0 The solution to this equation could not be determined.
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