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Simplifying x3 + 27 = (x + 3)(x2 + -3x + 9) Reorder the terms: 27 + x3 = (x + 3)(x2 + -3x + 9) Reorder the terms: 27 + x3 = (3 + x)(x2 + -3x + 9) Reorder the terms: 27 + x3 = (3 + x)(9 + -3x + x2) Multiply (3 + x) * (9 + -3x + x2) 27 + x3 = (3(9 + -3x + x2) + x(9 + -3x + x2)) 27 + x3 = ((9 * 3 + -3x * 3 + x2 * 3) + x(9 + -3x + x2)) 27 + x3 = ((27 + -9x + 3x2) + x(9 + -3x + x2)) 27 + x3 = (27 + -9x + 3x2 + (9 * x + -3x * x + x2 * x)) 27 + x3 = (27 + -9x + 3x2 + (9x + -3x2 + x3)) Reorder the terms: 27 + x3 = (27 + -9x + 9x + 3x2 + -3x2 + x3) Combine like terms: -9x + 9x = 0 27 + x3 = (27 + 0 + 3x2 + -3x2 + x3) 27 + x3 = (27 + 3x2 + -3x2 + x3) Combine like terms: 3x2 + -3x2 = 0 27 + x3 = (27 + 0 + x3) 27 + x3 = (27 + x3) Add '-27' to each side of the equation. 27 + -27 + x3 = 27 + -27 + x3 Combine like terms: 27 + -27 = 0 0 + x3 = 27 + -27 + x3 x3 = 27 + -27 + x3 Combine like terms: 27 + -27 = 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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