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Simplifying x(x + 5) = x2 + 40 Reorder the terms: x(5 + x) = x2 + 40 (5 * x + x * x) = x2 + 40 (5x + x2) = x2 + 40 Reorder the terms: 5x + x2 = 40 + x2 Add '-1x2' to each side of the equation. 5x + x2 + -1x2 = 40 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x + 0 = 40 + x2 + -1x2 5x = 40 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5x = 40 + 0 5x = 40 Solving 5x = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '5'. x = 8 Simplifying x = 8
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