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Simplifying 5x2 + -30xy + 6xy + -36y2 = 0 Reorder the terms: -30xy + 6xy + 5x2 + -36y2 = 0 Combine like terms: -30xy + 6xy = -24xy -24xy + 5x2 + -36y2 = 0 Solving -24xy + 5x2 + -36y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -6y)(5x + 6y) = 0Subproblem 1
Set the factor '(x + -6y)' equal to zero and attempt to solve: Simplifying x + -6y = 0 Solving x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 x + 0 = 0 + 6y x = 0 + 6y Remove the zero: x = 6y Simplifying x = 6ySubproblem 2
Set the factor '(5x + 6y)' equal to zero and attempt to solve: Simplifying 5x + 6y = 0 Solving 5x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 5x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 5x + 0 = 0 + -6y 5x = 0 + -6y Remove the zero: 5x = -6y Divide each side by '5'. x = -1.2y Simplifying x = -1.2ySolution
x = {6y, -1.2y}
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