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