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Simplifying (x + 2)(x + 2) = 5 + x * x Reorder the terms: (2 + x)(x + 2) = 5 + x * x Reorder the terms: (2 + x)(2 + x) = 5 + x * x Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) = 5 + x * x ((2 * 2 + x * 2) + x(2 + x)) = 5 + x * x ((4 + 2x) + x(2 + x)) = 5 + x * x (4 + 2x + (2 * x + x * x)) = 5 + x * x (4 + 2x + (2x + x2)) = 5 + x * x Combine like terms: 2x + 2x = 4x (4 + 4x + x2) = 5 + x * x Multiply x * x 4 + 4x + x2 = 5 + x2 Add '-1x2' to each side of the equation. 4 + 4x + x2 + -1x2 = 5 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 4x + 0 = 5 + x2 + -1x2 4 + 4x = 5 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 4x = 5 + 0 4 + 4x = 5 Solving 4 + 4x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 5 + -4 4x = 5 + -4 Combine like terms: 5 + -4 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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