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Simplifying (x + 2y)(x + -2y) = n Multiply (x + 2y) * (x + -2y) (x(x + -2y) + 2y * (x + -2y)) = n ((x * x + -2y * x) + 2y * (x + -2y)) = n Reorder the terms: ((-2xy + x2) + 2y * (x + -2y)) = n ((-2xy + x2) + 2y * (x + -2y)) = n (-2xy + x2 + (x * 2y + -2y * 2y)) = n (-2xy + x2 + (2xy + -4y2)) = n Reorder the terms: (-2xy + 2xy + x2 + -4y2) = n Combine like terms: -2xy + 2xy = 0 (0 + x2 + -4y2) = n (x2 + -4y2) = n Solving x2 + -4y2 = n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y2' to each side of the equation. x2 + -4y2 + 4y2 = n + 4y2 Combine like terms: -4y2 + 4y2 = 0 x2 + 0 = n + 4y2 x2 = n + 4y2 Simplifying x2 = n + 4y2 Reorder the terms: -1n + x2 + -4y2 = n + 4y2 + -1n + -4y2 Reorder the terms: -1n + x2 + -4y2 = n + -1n + 4y2 + -4y2 Combine like terms: n + -1n = 0 -1n + x2 + -4y2 = 0 + 4y2 + -4y2 -1n + x2 + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -1n + x2 + -4y2 = 0 The solution to this equation could not be determined.
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