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Simplifying 24y2 + -41xy + -14x2 = 0 Reorder the terms: -41xy + -14x2 + 24y2 = 0 Solving -41xy + -14x2 + 24y2 = 0 Solving for variable 'x'. Factor a trinomial. (-7x + -24y)(2x + -1y) = 0Subproblem 1
Set the factor '(-7x + -24y)' equal to zero and attempt to solve: Simplifying -7x + -24y = 0 Solving -7x + -24y = 0 Move all terms containing x to the left, all other terms to the right. Add '24y' to each side of the equation. -7x + -24y + 24y = 0 + 24y Combine like terms: -24y + 24y = 0 -7x + 0 = 0 + 24y -7x = 0 + 24y Remove the zero: -7x = 24y Divide each side by '-7'. x = -3.428571429y Simplifying x = -3.428571429ySubproblem 2
Set the factor '(2x + -1y)' equal to zero and attempt to solve: Simplifying 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 0 = 0 + y 2x = 0 + y Remove the zero: 2x = y Divide each side by '2'. x = 0.5y Simplifying x = 0.5ySolution
x = {-3.428571429y, 0.5y}
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