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Simplifying x2 + 49 = (x + 1)(x + 1) Reorder the terms: 49 + x2 = (x + 1)(x + 1) Reorder the terms: 49 + x2 = (1 + x)(x + 1) Reorder the terms: 49 + x2 = (1 + x)(1 + x) Multiply (1 + x) * (1 + x) 49 + x2 = (1(1 + x) + x(1 + x)) 49 + x2 = ((1 * 1 + x * 1) + x(1 + x)) 49 + x2 = ((1 + 1x) + x(1 + x)) 49 + x2 = (1 + 1x + (1 * x + x * x)) 49 + x2 = (1 + 1x + (1x + x2)) Combine like terms: 1x + 1x = 2x 49 + x2 = (1 + 2x + x2) Add '-1x2' to each side of the equation. 49 + x2 + -1x2 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 + 0 = 1 + 2x + x2 + -1x2 49 = 1 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 49 = 1 + 2x + 0 49 = 1 + 2x Solving 49 = 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. 49 + -2x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + -2x = 1 + 0 49 + -2x = 1 Add '-49' to each side of the equation. 49 + -49 + -2x = 1 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 1 + -49 -2x = 1 + -49 Combine like terms: 1 + -49 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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