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Simplifying x(x + 14) = (x + 7)(x + 7) Reorder the terms: x(14 + x) = (x + 7)(x + 7) (14 * x + x * x) = (x + 7)(x + 7) (14x + x2) = (x + 7)(x + 7) Reorder the terms: 14x + x2 = (7 + x)(x + 7) Reorder the terms: 14x + x2 = (7 + x)(7 + x) Multiply (7 + x) * (7 + x) 14x + x2 = (7(7 + x) + x(7 + x)) 14x + x2 = ((7 * 7 + x * 7) + x(7 + x)) 14x + x2 = ((49 + 7x) + x(7 + x)) 14x + x2 = (49 + 7x + (7 * x + x * x)) 14x + x2 = (49 + 7x + (7x + x2)) Combine like terms: 7x + 7x = 14x 14x + x2 = (49 + 14x + x2) Add '-14x' to each side of the equation. 14x + -14x + x2 = 49 + 14x + -14x + x2 Combine like terms: 14x + -14x = 0 0 + x2 = 49 + 14x + -14x + x2 x2 = 49 + 14x + -14x + x2 Combine like terms: 14x + -14x = 0 x2 = 49 + 0 + x2 x2 = 49 + x2 Add '-1x2' to each side of the equation. x2 + -1x2 = 49 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 49 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 49 + 0 0 = 49 Solving 0 = 49 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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