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Simplifying 4x2 + 8x + 4y2 = 0 Reorder the terms: 8x + 4x2 + 4y2 = 0 Solving 8x + 4x2 + 4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(2x + x2 + y2) = 0 Factor a trinomial. 4((x + y)(x + y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySubproblem 2
Set the factor '(x + y)' equal to zero and attempt to solve: Simplifying x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1ySolution
x = {-1y, -1y}
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