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Simplifying (x)(x2)(5x2 + 4x + 1) = x3(5x2 + 4x + 1) Reorder the terms: x * x2(1 + 4x + 5x2) = x3(5x2 + 4x + 1) Multiply x * x2 x3(1 + 4x + 5x2) = x3(5x2 + 4x + 1) (1 * x3 + 4x * x3 + 5x2 * x3) = x3(5x2 + 4x + 1) (1x3 + 4x4 + 5x5) = x3(5x2 + 4x + 1) Reorder the terms: 1x3 + 4x4 + 5x5 = x3(1 + 4x + 5x2) 1x3 + 4x4 + 5x5 = (1 * x3 + 4x * x3 + 5x2 * x3) 1x3 + 4x4 + 5x5 = (1x3 + 4x4 + 5x5) Add '-1x3' to each side of the equation. 1x3 + 4x4 + -1x3 + 5x5 = 1x3 + 4x4 + -1x3 + 5x5 Reorder the terms: 1x3 + -1x3 + 4x4 + 5x5 = 1x3 + 4x4 + -1x3 + 5x5 Combine like terms: 1x3 + -1x3 = 0 0 + 4x4 + 5x5 = 1x3 + 4x4 + -1x3 + 5x5 4x4 + 5x5 = 1x3 + 4x4 + -1x3 + 5x5 Reorder the terms: 4x4 + 5x5 = 1x3 + -1x3 + 4x4 + 5x5 Combine like terms: 1x3 + -1x3 = 0 4x4 + 5x5 = 0 + 4x4 + 5x5 4x4 + 5x5 = 4x4 + 5x5 Add '-4x4' to each side of the equation. 4x4 + -4x4 + 5x5 = 4x4 + -4x4 + 5x5 Combine like terms: 4x4 + -4x4 = 0 0 + 5x5 = 4x4 + -4x4 + 5x5 5x5 = 4x4 + -4x4 + 5x5 Combine like terms: 4x4 + -4x4 = 0 5x5 = 0 + 5x5 5x5 = 5x5 Add '-5x5' to each side of the equation. 5x5 + -5x5 = 5x5 + -5x5 Combine like terms: 5x5 + -5x5 = 0 0 = 5x5 + -5x5 Combine like terms: 5x5 + -5x5 = 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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