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Simplifying 30x2 + -19xy + -4y2 = 0 Reorder the terms: -19xy + 30x2 + -4y2 = 0 Solving -19xy + 30x2 + -4y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x + -4y)(6x + y) = 0Subproblem 1
Set the factor '(5x + -4y)' equal to zero and attempt to solve: Simplifying 5x + -4y = 0 Solving 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 0 + 4y 5x = 0 + 4y Remove the zero: 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8ySubproblem 2
Set the factor '(6x + y)' equal to zero and attempt to solve: Simplifying 6x + y = 0 Solving 6x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 6x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 6x + 0 = 0 + -1y 6x = 0 + -1y Remove the zero: 6x = -1y Divide each side by '6'. x = -0.1666666667y Simplifying x = -0.1666666667ySolution
x = {0.8y, -0.1666666667y}
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