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Simplifying (x * x + -5x + 7) + -1(x + -2)(x + -3) = 0 Multiply x * x (x2 + -5x + 7) + -1(x + -2)(x + -3) = 0 Reorder the terms: (7 + -5x + x2) + -1(x + -2)(x + -3) = 0 Remove parenthesis around (7 + -5x + x2) 7 + -5x + x2 + -1(x + -2)(x + -3) = 0 Reorder the terms: 7 + -5x + x2 + -1(-2 + x)(x + -3) = 0 Reorder the terms: 7 + -5x + x2 + -1(-2 + x)(-3 + x) = 0 Multiply (-2 + x) * (-3 + x) 7 + -5x + x2 + -1(-2(-3 + x) + x(-3 + x)) = 0 7 + -5x + x2 + -1((-3 * -2 + x * -2) + x(-3 + x)) = 0 7 + -5x + x2 + -1((6 + -2x) + x(-3 + x)) = 0 7 + -5x + x2 + -1(6 + -2x + (-3 * x + x * x)) = 0 7 + -5x + x2 + -1(6 + -2x + (-3x + x2)) = 0 Combine like terms: -2x + -3x = -5x 7 + -5x + x2 + -1(6 + -5x + x2) = 0 7 + -5x + x2 + (6 * -1 + -5x * -1 + x2 * -1) = 0 7 + -5x + x2 + (-6 + 5x + -1x2) = 0 Reorder the terms: 7 + -6 + -5x + 5x + x2 + -1x2 = 0 Combine like terms: 7 + -6 = 1 1 + -5x + 5x + x2 + -1x2 = 0 Combine like terms: -5x + 5x = 0 1 + 0 + x2 + -1x2 = 0 1 + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 1 + 0 = 0 1 = 0 Solving 1 = 0 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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