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Simplifying (x + -3y)(x + -3y) = 0 Multiply (x + -3y) * (x + -3y) (x(x + -3y) + -3y * (x + -3y)) = 0 ((x * x + -3y * x) + -3y * (x + -3y)) = 0 Reorder the terms: ((-3xy + x2) + -3y * (x + -3y)) = 0 ((-3xy + x2) + -3y * (x + -3y)) = 0 (-3xy + x2 + (x * -3y + -3y * -3y)) = 0 (-3xy + x2 + (-3xy + 9y2)) = 0 Reorder the terms: (-3xy + -3xy + x2 + 9y2) = 0 Combine like terms: -3xy + -3xy = -6xy (-6xy + x2 + 9y2) = 0 Solving -6xy + x2 + 9y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -3y)(x + -3y) = 0Subproblem 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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