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Simplifying x(x + 12) = (x + 6)(x + 6) Reorder the terms: x(12 + x) = (x + 6)(x + 6) (12 * x + x * x) = (x + 6)(x + 6) (12x + x2) = (x + 6)(x + 6) Reorder the terms: 12x + x2 = (6 + x)(x + 6) Reorder the terms: 12x + x2 = (6 + x)(6 + x) Multiply (6 + x) * (6 + x) 12x + x2 = (6(6 + x) + x(6 + x)) 12x + x2 = ((6 * 6 + x * 6) + x(6 + x)) 12x + x2 = ((36 + 6x) + x(6 + x)) 12x + x2 = (36 + 6x + (6 * x + x * x)) 12x + x2 = (36 + 6x + (6x + x2)) Combine like terms: 6x + 6x = 12x 12x + x2 = (36 + 12x + x2) Add '-12x' to each side of the equation. 12x + -12x + x2 = 36 + 12x + -12x + x2 Combine like terms: 12x + -12x = 0 0 + x2 = 36 + 12x + -12x + x2 x2 = 36 + 12x + -12x + x2 Combine like terms: 12x + -12x = 0 x2 = 36 + 0 + x2 x2 = 36 + x2 Add '-1x2' to each side of the equation. x2 + -1x2 = 36 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 36 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 36 + 0 0 = 36 Solving 0 = 36 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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