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Simplifying (2 + x)(2 + x) = (10 + x) * x Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) = (10 + x) * x ((2 * 2 + x * 2) + x(2 + x)) = (10 + x) * x ((4 + 2x) + x(2 + x)) = (10 + x) * x (4 + 2x + (2 * x + x * x)) = (10 + x) * x (4 + 2x + (2x + x2)) = (10 + x) * x Combine like terms: 2x + 2x = 4x (4 + 4x + x2) = (10 + x) * x Reorder the terms for easier multiplication: 4 + 4x + x2 = x(10 + x) 4 + 4x + x2 = (10 * x + x * x) 4 + 4x + x2 = (10x + x2) Add '-1x2' to each side of the equation. 4 + 4x + x2 + -1x2 = 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 4x + 0 = 10x + x2 + -1x2 4 + 4x = 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 4x = 10x + 0 4 + 4x = 10x Solving 4 + 4x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 4x + -10x = 10x + -10x Combine like terms: 4x + -10x = -6x 4 + -6x = 10x + -10x Combine like terms: 10x + -10x = 0 4 + -6x = 0 Add '-4' to each side of the equation. 4 + -4 + -6x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 0 + -4 -6x = 0 + -4 Combine like terms: 0 + -4 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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