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Simplifying x(x) + -5x + 2 = (x + -3)(x + -2) Multiply x * x x2 + -5x + 2 = (x + -3)(x + -2) Reorder the terms: 2 + -5x + x2 = (x + -3)(x + -2) Reorder the terms: 2 + -5x + x2 = (-3 + x)(x + -2) Reorder the terms: 2 + -5x + x2 = (-3 + x)(-2 + x) Multiply (-3 + x) * (-2 + x) 2 + -5x + x2 = (-3(-2 + x) + x(-2 + x)) 2 + -5x + x2 = ((-2 * -3 + x * -3) + x(-2 + x)) 2 + -5x + x2 = ((6 + -3x) + x(-2 + x)) 2 + -5x + x2 = (6 + -3x + (-2 * x + x * x)) 2 + -5x + x2 = (6 + -3x + (-2x + x2)) Combine like terms: -3x + -2x = -5x 2 + -5x + x2 = (6 + -5x + x2) Add '5x' to each side of the equation. 2 + -5x + 5x + x2 = 6 + -5x + 5x + x2 Combine like terms: -5x + 5x = 0 2 + 0 + x2 = 6 + -5x + 5x + x2 2 + x2 = 6 + -5x + 5x + x2 Combine like terms: -5x + 5x = 0 2 + x2 = 6 + 0 + x2 2 + x2 = 6 + x2 Add '-1x2' to each side of the equation. 2 + x2 + -1x2 = 6 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + 0 = 6 + x2 + -1x2 2 = 6 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 = 6 + 0 2 = 6 Solving 2 = 6 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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