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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 '125' to each side of the equation. -125 + 125 + x3 = -125 + 125 + x3 Combine like terms: -125 + 125 = 0 0 + x3 = -125 + 125 + x3 x3 = -125 + 125 + x3 Combine like terms: -125 + 125 = 0 x3 = 0 + x3 x3 = x3 Add '-1x3' to each side of the equation. x3 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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