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Simplifying 7x2 + 73xy + 90y2 = 0 Reorder the terms: 73xy + 7x2 + 90y2 = 0 Solving 73xy + 7x2 + 90y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + 10y)(x + 9y) = 0Subproblem 1
Set the factor '(7x + 10y)' equal to zero and attempt to solve: Simplifying 7x + 10y = 0 Solving 7x + 10y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 7x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 7x + 0 = 0 + -10y 7x = 0 + -10y Remove the zero: 7x = -10y Divide each side by '7'. x = -1.428571429y Simplifying x = -1.428571429ySubproblem 2
Set the factor '(x + 9y)' equal to zero and attempt to solve: Simplifying x + 9y = 0 Solving x + 9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 x + 0 = 0 + -9y x = 0 + -9y Remove the zero: x = -9y Simplifying x = -9ySolution
x = {-1.428571429y, -9y}
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