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Simplifying 2x2 + 20xy + 50y2 = 0 Reorder the terms: 20xy + 2x2 + 50y2 = 0 Solving 20xy + 2x2 + 50y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(10xy + x2 + 25y2) = 0 Factor a trinomial. 2((x + 5y)(x + 5y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + 5y)' equal to zero and attempt to solve: Simplifying x + 5y = 0 Solving x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 0 + -5y x = 0 + -5y Remove the zero: x = -5y Simplifying x = -5ySubproblem 2
Set the factor '(x + 5y)' equal to zero and attempt to solve: Simplifying x + 5y = 0 Solving x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 0 + -5y x = 0 + -5y Remove the zero: x = -5y Simplifying x = -5ySolution
x = {-5y, -5y}
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