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Simplifying (x + 2y)(x + 2y) = 0 Multiply (x + 2y) * (x + 2y) (x(x + 2y) + 2y * (x + 2y)) = 0 ((x * x + 2y * x) + 2y * (x + 2y)) = 0 Reorder the terms: ((2xy + x2) + 2y * (x + 2y)) = 0 ((2xy + x2) + 2y * (x + 2y)) = 0 (2xy + x2 + (x * 2y + 2y * 2y)) = 0 (2xy + x2 + (2xy + 4y2)) = 0 Reorder the terms: (2xy + 2xy + x2 + 4y2) = 0 Combine like terms: 2xy + 2xy = 4xy (4xy + x2 + 4y2) = 0 Solving 4xy + x2 + 4y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + 2y)(x + 2y) = 0Subproblem 1
Set the factor '(x + 2y)' equal to zero and attempt to solve: Simplifying x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2ySubproblem 2
Set the factor '(x + 2y)' equal to zero and attempt to solve: Simplifying x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2ySolution
x = {-2y, -2y}
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