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Simplifying 90x2 + -97xy + 21y2 = 0 Reorder the terms: -97xy + 90x2 + 21y2 = 0 Solving -97xy + 90x2 + 21y2 = 0 Solving for variable 'x'. Factor a trinomial. (9x + -7y)(10x + -3y) = 0Subproblem 1
Set the factor '(9x + -7y)' equal to zero and attempt to solve: Simplifying 9x + -7y = 0 Solving 9x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 9x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 9x + 0 = 0 + 7y 9x = 0 + 7y Remove the zero: 9x = 7y Divide each side by '9'. x = 0.7777777778y Simplifying x = 0.7777777778ySubproblem 2
Set the factor '(10x + -3y)' equal to zero and attempt to solve: Simplifying 10x + -3y = 0 Solving 10x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 10x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 10x + 0 = 0 + 3y 10x = 0 + 3y Remove the zero: 10x = 3y Divide each side by '10'. x = 0.3y Simplifying x = 0.3ySolution
x = {0.7777777778y, 0.3y}
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