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Simplifying 48x2 + -26xy + -25y2 = 0 Reorder the terms: -26xy + 48x2 + -25y2 = 0 Solving -26xy + 48x2 + -25y2 = 0 Solving for variable 'x'. Factor a trinomial. (24x + -25y)(2x + y) = 0Subproblem 1
Set the factor '(24x + -25y)' equal to zero and attempt to solve: Simplifying 24x + -25y = 0 Solving 24x + -25y = 0 Move all terms containing x to the left, all other terms to the right. Add '25y' to each side of the equation. 24x + -25y + 25y = 0 + 25y Combine like terms: -25y + 25y = 0 24x + 0 = 0 + 25y 24x = 0 + 25y Remove the zero: 24x = 25y Divide each side by '24'. x = 1.041666667y Simplifying x = 1.041666667ySubproblem 2
Set the factor '(2x + y)' equal to zero and attempt to solve: Simplifying 2x + y = 0 Solving 2x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 2x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 2x + 0 = 0 + -1y 2x = 0 + -1y Remove the zero: 2x = -1y Divide each side by '2'. x = -0.5y Simplifying x = -0.5ySolution
x = {1.041666667y, -0.5y}
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