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Simplifying x(x + 4) = (x + 2)(x + 2) Reorder the terms: x(4 + x) = (x + 2)(x + 2) (4 * x + x * x) = (x + 2)(x + 2) (4x + x2) = (x + 2)(x + 2) Reorder the terms: 4x + x2 = (2 + x)(x + 2) Reorder the terms: 4x + x2 = (2 + x)(2 + x) Multiply (2 + x) * (2 + x) 4x + x2 = (2(2 + x) + x(2 + x)) 4x + x2 = ((2 * 2 + x * 2) + x(2 + x)) 4x + x2 = ((4 + 2x) + x(2 + x)) 4x + x2 = (4 + 2x + (2 * x + x * x)) 4x + x2 = (4 + 2x + (2x + x2)) Combine like terms: 2x + 2x = 4x 4x + x2 = (4 + 4x + x2) Add '-4x' to each side of the equation. 4x + -4x + x2 = 4 + 4x + -4x + x2 Combine like terms: 4x + -4x = 0 0 + x2 = 4 + 4x + -4x + x2 x2 = 4 + 4x + -4x + x2 Combine like terms: 4x + -4x = 0 x2 = 4 + 0 + x2 x2 = 4 + x2 Add '-1x2' to each side of the equation. x2 + -1x2 = 4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 4 + 0 0 = 4 Solving 0 = 4 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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