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Simplifying X(X + 1) = X(X + 3) + -2X Reorder the terms: X(1 + X) = X(X + 3) + -2X (1 * X + X * X) = X(X + 3) + -2X (1X + X2) = X(X + 3) + -2X Reorder the terms: 1X + X2 = X(3 + X) + -2X 1X + X2 = (3 * X + X * X) + -2X 1X + X2 = (3X + X2) + -2X Reorder the terms: 1X + X2 = 3X + -2X + X2 Combine like terms: 3X + -2X = 1X 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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