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Simplifying 2x2 + -12xy = -18y2 Reorder the terms: -12xy + 2x2 = -18y2 Solving -12xy + 2x2 = -18y2 Solving for variable 'x'. Combine like terms: -18y2 + 18y2 = 0 -12xy + 2x2 + 18y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6xy + x2 + 9y2) = 0 Factor a trinomial. 2((x + -3y)(x + -3y)) = 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 + -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 = 3ySolution
x = {3y, 3y}
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