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Simplifying 2x2 + 10xy + -48y2 = 0 Reorder the terms: 10xy + 2x2 + -48y2 = 0 Solving 10xy + 2x2 + -48y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(5xy + x2 + -24y2) = 0 Factor a trinomial. 2((x + -3y)(x + 8y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(x + -3y)' equal to zero and attempt to solve: Simplifying x + -3y = 0 Solving x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x + 0 = 0 + 3y x = 0 + 3y Remove the zero: x = 3y Simplifying x = 3ySubproblem 2
Set the factor '(x + 8y)' equal to zero and attempt to solve: Simplifying x + 8y = 0 Solving x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 x + 0 = 0 + -8y x = 0 + -8y Remove the zero: x = -8y Simplifying x = -8ySolution
x = {3y, -8y}
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