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Simplifying 128x2 + 96xy + 18y2 = 0 Reorder the terms: 96xy + 128x2 + 18y2 = 0 Solving 96xy + 128x2 + 18y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(48xy + 64x2 + 9y2) = 0 Factor a trinomial. 2((8x + 3y)(8x + 3y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8x + 3y)' equal to zero and attempt to solve: Simplifying 8x + 3y = 0 Solving 8x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 8x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 0 + -3y 8x = 0 + -3y Remove the zero: 8x = -3y Divide each side by '8'. x = -0.375y Simplifying x = -0.375ySubproblem 2
Set the factor '(8x + 3y)' equal to zero and attempt to solve: Simplifying 8x + 3y = 0 Solving 8x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 8x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 0 + -3y 8x = 0 + -3y Remove the zero: 8x = -3y Divide each side by '8'. x = -0.375y Simplifying x = -0.375ySolution
x = {-0.375y, -0.375y}
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