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Simplifying 50x2 + -181xy + 21y2 = 0 Reorder the terms: -181xy + 50x2 + 21y2 = 0 Solving -181xy + 50x2 + 21y2 = 0 Solving for variable 'x'. Factor a trinomial. (2x + -7y)(25x + -3y) = 0Subproblem 1
Set the factor '(2x + -7y)' equal to zero and attempt to solve: Simplifying 2x + -7y = 0 Solving 2x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 2x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 2x + 0 = 0 + 7y 2x = 0 + 7y Remove the zero: 2x = 7y Divide each side by '2'. x = 3.5y Simplifying x = 3.5ySubproblem 2
Set the factor '(25x + -3y)' equal to zero and attempt to solve: Simplifying 25x + -3y = 0 Solving 25x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 25x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 25x + 0 = 0 + 3y 25x = 0 + 3y Remove the zero: 25x = 3y Divide each side by '25'. x = 0.12y Simplifying x = 0.12ySolution
x = {3.5y, 0.12y}
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