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Simplifying (x + 3)(x + 3) = x * x + 10 Reorder the terms: (3 + x)(x + 3) = x * x + 10 Reorder the terms: (3 + x)(3 + x) = x * x + 10 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = x * x + 10 ((3 * 3 + x * 3) + x(3 + x)) = x * x + 10 ((9 + 3x) + x(3 + x)) = x * x + 10 (9 + 3x + (3 * x + x * x)) = x * x + 10 (9 + 3x + (3x + x2)) = x * x + 10 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = x * x + 10 Multiply x * x 9 + 6x + x2 = x2 + 10 Reorder the terms: 9 + 6x + x2 = 10 + x2 Add '-1x2' to each side of the equation. 9 + 6x + x2 + -1x2 = 10 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x + 0 = 10 + x2 + -1x2 9 + 6x = 10 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x = 10 + 0 9 + 6x = 10 Solving 9 + 6x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 10 + -9 6x = 10 + -9 Combine like terms: 10 + -9 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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