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Simplifying 2(x + 4) + x2 = x(x + 2) + 8 Reorder the terms: 2(4 + x) + x2 = x(x + 2) + 8 (4 * 2 + x * 2) + x2 = x(x + 2) + 8 (8 + 2x) + x2 = x(x + 2) + 8 Reorder the terms: 8 + 2x + x2 = x(2 + x) + 8 8 + 2x + x2 = (2 * x + x * x) + 8 8 + 2x + x2 = (2x + x2) + 8 Reorder the terms: 8 + 2x + x2 = 8 + 2x + x2 Add '-8' to each side of the equation. 8 + 2x + -8 + x2 = 8 + 2x + -8 + x2 Reorder the terms: 8 + -8 + 2x + x2 = 8 + 2x + -8 + x2 Combine like terms: 8 + -8 = 0 0 + 2x + x2 = 8 + 2x + -8 + x2 2x + x2 = 8 + 2x + -8 + x2 Reorder the terms: 2x + x2 = 8 + -8 + 2x + x2 Combine like terms: 8 + -8 = 0 2x + x2 = 0 + 2x + x2 2x + x2 = 2x + x2 Add '-2x' to each side of the equation. 2x + -2x + x2 = 2x + -2x + x2 Combine like terms: 2x + -2x = 0 0 + x2 = 2x + -2x + x2 x2 = 2x + -2x + x2 Combine like terms: 2x + -2x = 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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