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Simplifying 15x2 + -41xy + 14y2 = 0 Reorder the terms: -41xy + 15x2 + 14y2 = 0 Solving -41xy + 15x2 + 14y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x + -7y)(5x + -2y) = 0Subproblem 1
Set the factor '(3x + -7y)' equal to zero and attempt to solve: Simplifying 3x + -7y = 0 Solving 3x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 3x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 3x + 0 = 0 + 7y 3x = 0 + 7y Remove the zero: 3x = 7y Divide each side by '3'. x = 2.333333333y Simplifying x = 2.333333333ySubproblem 2
Set the factor '(5x + -2y)' equal to zero and attempt to solve: Simplifying 5x + -2y = 0 Solving 5x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 5x + 0 = 0 + 2y 5x = 0 + 2y Remove the zero: 5x = 2y Divide each side by '5'. x = 0.4y Simplifying x = 0.4ySolution
x = {2.333333333y, 0.4y}
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