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Simplifying 14 * 14 + x * x = (x + 2)(x + 2) Multiply 14 * 14 196 + x * x = (x + 2)(x + 2) Multiply x * x 196 + x2 = (x + 2)(x + 2) Reorder the terms: 196 + x2 = (2 + x)(x + 2) Reorder the terms: 196 + x2 = (2 + x)(2 + x) Multiply (2 + x) * (2 + x) 196 + x2 = (2(2 + x) + x(2 + x)) 196 + x2 = ((2 * 2 + x * 2) + x(2 + x)) 196 + x2 = ((4 + 2x) + x(2 + x)) 196 + x2 = (4 + 2x + (2 * x + x * x)) 196 + x2 = (4 + 2x + (2x + x2)) Combine like terms: 2x + 2x = 4x 196 + x2 = (4 + 4x + x2) Add '-1x2' to each side of the equation. 196 + x2 + -1x2 = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 196 + 0 = 4 + 4x + x2 + -1x2 196 = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 196 = 4 + 4x + 0 196 = 4 + 4x Solving 196 = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 196 + -4x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 196 + -4x = 4 + 0 196 + -4x = 4 Add '-196' to each side of the equation. 196 + -196 + -4x = 4 + -196 Combine like terms: 196 + -196 = 0 0 + -4x = 4 + -196 -4x = 4 + -196 Combine like terms: 4 + -196 = -192 -4x = -192 Divide each side by '-4'. x = 48 Simplifying x = 48
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