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Simplifying x(x + -1x) = (x + -1x)(x + x) Combine like terms: x + -1x = 0 x(0) = (x + -1x)(x + x) Reorder the terms for easier multiplication: 0x = (x + -1x)(x + x) Anything times zero is zero. 0x = (x + -1x)(x + x) Combine like terms: x + -1x = 0 0 = (0)(x + x) Combine like terms: x + x = 2x 0 = 0(2x) Remove parenthesis around (2x) 0 = 0 * 2x Multiply 0 * 2 0 = 0x Anything times zero is zero. 0 = 0x 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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