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Simplifying 42x2 + -1xy + -30y2 = 0 Reorder the terms: -1xy + 42x2 + -30y2 = 0 Solving -1xy + 42x2 + -30y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -6y)(6x + 5y) = 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 '(6x + 5y)' equal to zero and attempt to solve: Simplifying 6x + 5y = 0 Solving 6x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 6x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 6x + 0 = 0 + -5y 6x = 0 + -5y Remove the zero: 6x = -5y Divide each side by '6'. x = -0.8333333333y Simplifying x = -0.8333333333ySolution
x = {0.8571428571y, -0.8333333333y}
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