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Simplifying 30x2 + 19xy + -28y2 = 0 Reorder the terms: 19xy + 30x2 + -28y2 = 0 Solving 19xy + 30x2 + -28y2 = 0 Solving for variable 'x'. Factor a trinomial. (10x + -7y)(3x + 4y) = 0Subproblem 1
Set the factor '(10x + -7y)' equal to zero and attempt to solve: Simplifying 10x + -7y = 0 Solving 10x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 10x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 10x + 0 = 0 + 7y 10x = 0 + 7y Remove the zero: 10x = 7y Divide each side by '10'. x = 0.7y Simplifying x = 0.7ySubproblem 2
Set the factor '(3x + 4y)' equal to zero and attempt to solve: Simplifying 3x + 4y = 0 Solving 3x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 3x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 3x + 0 = 0 + -4y 3x = 0 + -4y Remove the zero: 3x = -4y Divide each side by '3'. x = -1.333333333y Simplifying x = -1.333333333ySolution
x = {0.7y, -1.333333333y}
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