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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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