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Simplifying (x + 2y2)(2x + -2y2) = 0 Multiply (x + 2y2) * (2x + -2y2) (x(2x + -2y2) + 2y2 * (2x + -2y2)) = 0 ((2x * x + -2y2 * x) + 2y2 * (2x + -2y2)) = 0 Reorder the terms: ((-2xy2 + 2x2) + 2y2 * (2x + -2y2)) = 0 ((-2xy2 + 2x2) + 2y2 * (2x + -2y2)) = 0 (-2xy2 + 2x2 + (2x * 2y2 + -2y2 * 2y2)) = 0 (-2xy2 + 2x2 + (4xy2 + -4y4)) = 0 Reorder the terms: (-2xy2 + 4xy2 + 2x2 + -4y4) = 0 Combine like terms: -2xy2 + 4xy2 = 2xy2 (2xy2 + 2x2 + -4y4) = 0 Solving 2xy2 + 2x2 + -4y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(xy2 + x2 + -2y4) = 0 Factor a trinomial. 2((x + -1y2)(x + 2y2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + -1y2)' equal to zero and attempt to solve: Simplifying x + -1y2 = 0 Solving x + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y2' to each side of the equation. x + -1y2 + y2 = 0 + y2 Combine like terms: -1y2 + y2 = 0 x + 0 = 0 + y2 x = 0 + y2 Remove the zero: x = y2 Simplifying x = y2Subproblem 2
Set the factor '(x + 2y2)' equal to zero and attempt to solve: Simplifying x + 2y2 = 0 Solving x + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y2' to each side of the equation. x + 2y2 + -2y2 = 0 + -2y2 Combine like terms: 2y2 + -2y2 = 0 x + 0 = 0 + -2y2 x = 0 + -2y2 Remove the zero: x = -2y2 Simplifying x = -2y2Solution
x = {y2, -2y2}
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