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Simplifying x(x + 1) = 3 + (2 + x) * x Reorder the terms: x(1 + x) = 3 + (2 + x) * x (1 * x + x * x) = 3 + (2 + x) * x (1x + x2) = 3 + (2 + x) * x Reorder the terms for easier multiplication: 1x + x2 = 3 + x(2 + x) 1x + x2 = 3 + (2 * x + x * x) 1x + x2 = 3 + (2x + x2) Add '-1x2' to each side of the equation. 1x + x2 + -1x2 = 3 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1x + 0 = 3 + 2x + x2 + -1x2 1x = 3 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1x = 3 + 2x + 0 1x = 3 + 2x Solving 1x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1x + -2x = 3 + 2x + -2x Combine like terms: 1x + -2x = -1x -1x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -1x = 3 + 0 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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