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Simplifying 32x2 + 80xy + 50y2 = 0 Reorder the terms: 80xy + 32x2 + 50y2 = 0 Solving 80xy + 32x2 + 50y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(40xy + 16x2 + 25y2) = 0 Factor a trinomial. 2((4x + 5y)(4x + 5y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4x + 5y)' equal to zero and attempt to solve: Simplifying 4x + 5y = 0 Solving 4x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 4x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 4x + 0 = 0 + -5y 4x = 0 + -5y Remove the zero: 4x = -5y Divide each side by '4'. x = -1.25y Simplifying x = -1.25ySubproblem 2
Set the factor '(4x + 5y)' equal to zero and attempt to solve: Simplifying 4x + 5y = 0 Solving 4x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 4x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 4x + 0 = 0 + -5y 4x = 0 + -5y Remove the zero: 4x = -5y Divide each side by '4'. x = -1.25y Simplifying x = -1.25ySolution
x = {-1.25y, -1.25y}
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