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Simplifying 44x2 + -30xy + 4y2 = 0 Reorder the terms: -30xy + 44x2 + 4y2 = 0 Solving -30xy + 44x2 + 4y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15xy + 22x2 + 2y2) = 0 Factor a trinomial. 2((2x + -1y)(11x + -2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2x + -1y)' equal to zero and attempt to solve: Simplifying 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 0 = 0 + y 2x = 0 + y Remove the zero: 2x = y Divide each side by '2'. x = 0.5y Simplifying x = 0.5ySubproblem 2
Set the factor '(11x + -2y)' equal to zero and attempt to solve: Simplifying 11x + -2y = 0 Solving 11x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 11x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 11x + 0 = 0 + 2y 11x = 0 + 2y Remove the zero: 11x = 2y Divide each side by '11'. x = 0.1818181818y Simplifying x = 0.1818181818ySolution
x = {0.5y, 0.1818181818y}
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