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Simplifying 8x2 + 64xy + 128y2 = 0 Reorder the terms: 64xy + 8x2 + 128y2 = 0 Solving 64xy + 8x2 + 128y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8'. 8(8xy + x2 + 16y2) = 0 Factor a trinomial. 8((x + 4y)(x + 4y)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(x + 4y)' equal to zero and attempt to solve: Simplifying x + 4y = 0 Solving x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 0 + -4y x = 0 + -4y Remove the zero: x = -4y Simplifying x = -4ySubproblem 2
Set the factor '(x + 4y)' equal to zero and attempt to solve: Simplifying x + 4y = 0 Solving x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 0 + -4y x = 0 + -4y Remove the zero: x = -4y Simplifying x = -4ySolution
x = {-4y, -4y}
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