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Simplifying x * x + 5 * 5 = (x + 3)(x + 3) Multiply x * x x2 + 5 * 5 = (x + 3)(x + 3) Multiply 5 * 5 x2 + 25 = (x + 3)(x + 3) Reorder the terms: 25 + x2 = (x + 3)(x + 3) Reorder the terms: 25 + x2 = (3 + x)(x + 3) Reorder the terms: 25 + x2 = (3 + x)(3 + x) Multiply (3 + x) * (3 + x) 25 + x2 = (3(3 + x) + x(3 + x)) 25 + x2 = ((3 * 3 + x * 3) + x(3 + x)) 25 + x2 = ((9 + 3x) + x(3 + x)) 25 + x2 = (9 + 3x + (3 * x + x * x)) 25 + x2 = (9 + 3x + (3x + x2)) Combine like terms: 3x + 3x = 6x 25 + x2 = (9 + 6x + x2) Add '-1x2' to each side of the equation. 25 + x2 + -1x2 = 9 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 + 0 = 9 + 6x + x2 + -1x2 25 = 9 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 25 = 9 + 6x + 0 25 = 9 + 6x Solving 25 = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25 + -6x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + -6x = 9 + 0 25 + -6x = 9 Add '-25' to each side of the equation. 25 + -25 + -6x = 9 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = 9 + -25 -6x = 9 + -25 Combine like terms: 9 + -25 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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