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Simplifying 7x2 + 20xy + 12y2 = 0 Reorder the terms: 20xy + 7x2 + 12y2 = 0 Solving 20xy + 7x2 + 12y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + 6y)(x + 2y) = 0Subproblem 1
Set the factor '(7x + 6y)' equal to zero and attempt to solve: Simplifying 7x + 6y = 0 Solving 7x + 6y = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 7x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 7x + 0 = 0 + -6y 7x = 0 + -6y Remove the zero: 7x = -6y Divide each side by '7'. x = -0.8571428571y Simplifying x = -0.8571428571ySubproblem 2
Set the factor '(x + 2y)' equal to zero and attempt to solve: Simplifying x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2ySolution
x = {-0.8571428571y, -2y}
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