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Simplifying x2 + 7 = (x + 1)(x + 1) Reorder the terms: 7 + x2 = (x + 1)(x + 1) Reorder the terms: 7 + x2 = (1 + x)(x + 1) Reorder the terms: 7 + x2 = (1 + x)(1 + x) Multiply (1 + x) * (1 + x) 7 + x2 = (1(1 + x) + x(1 + x)) 7 + x2 = ((1 * 1 + x * 1) + x(1 + x)) 7 + x2 = ((1 + 1x) + x(1 + x)) 7 + x2 = (1 + 1x + (1 * x + x * x)) 7 + x2 = (1 + 1x + (1x + x2)) Combine like terms: 1x + 1x = 2x 7 + x2 = (1 + 2x + x2) Add '-1x2' to each side of the equation. 7 + x2 + -1x2 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7 + 0 = 1 + 2x + x2 + -1x2 7 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7 = 1 + 2x + 0 7 = 1 + 2x Solving 7 = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -2x = 1 + 0 7 + -2x = 1 Add '-7' to each side of the equation. 7 + -7 + -2x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 1 + -7 -2x = 1 + -7 Combine like terms: 1 + -7 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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