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