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Simplifying 30x2 + 13xy + -56y2 = 0 Reorder the terms: 13xy + 30x2 + -56y2 = 0 Solving 13xy + 30x2 + -56y2 = 0 Solving for variable 'x'. Factor a trinomial. (6x + -7y)(5x + 8y) = 0Subproblem 1
Set the factor '(6x + -7y)' equal to zero and attempt to solve: Simplifying 6x + -7y = 0 Solving 6x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 6x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 6x + 0 = 0 + 7y 6x = 0 + 7y Remove the zero: 6x = 7y Divide each side by '6'. x = 1.166666667y Simplifying x = 1.166666667ySubproblem 2
Set the factor '(5x + 8y)' equal to zero and attempt to solve: Simplifying 5x + 8y = 0 Solving 5x + 8y = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 5x + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 5x + 0 = 0 + -8y 5x = 0 + -8y Remove the zero: 5x = -8y Divide each side by '5'. x = -1.6y Simplifying x = -1.6ySolution
x = {1.166666667y, -1.6y}
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