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Simplifying x3 + 125 = (x + -5)(x2 + 5x + 25) Reorder the terms: 125 + x3 = (x + -5)(x2 + 5x + 25) Reorder the terms: 125 + x3 = (-5 + x)(x2 + 5x + 25) Reorder the terms: 125 + x3 = (-5 + x)(25 + 5x + x2) Multiply (-5 + x) * (25 + 5x + x2) 125 + x3 = (-5(25 + 5x + x2) + x(25 + 5x + x2)) 125 + x3 = ((25 * -5 + 5x * -5 + x2 * -5) + x(25 + 5x + x2)) 125 + x3 = ((-125 + -25x + -5x2) + x(25 + 5x + x2)) 125 + x3 = (-125 + -25x + -5x2 + (25 * x + 5x * x + x2 * x)) 125 + x3 = (-125 + -25x + -5x2 + (25x + 5x2 + x3)) Reorder the terms: 125 + x3 = (-125 + -25x + 25x + -5x2 + 5x2 + x3) Combine like terms: -25x + 25x = 0 125 + x3 = (-125 + 0 + -5x2 + 5x2 + x3) 125 + x3 = (-125 + -5x2 + 5x2 + x3) Combine like terms: -5x2 + 5x2 = 0 125 + x3 = (-125 + 0 + x3) 125 + x3 = (-125 + x3) Add '-1x3' to each side of the equation. 125 + x3 + -1x3 = -125 + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 125 + 0 = -125 + x3 + -1x3 125 = -125 + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 125 = -125 + 0 125 = -125 Solving 125 = -125 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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