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Simplifying 26x2 + -27xy + 7y2 = 0 Reorder the terms: -27xy + 26x2 + 7y2 = 0 Solving -27xy + 26x2 + 7y2 = 0 Solving for variable 'x'. Factor a trinomial. (13x + -7y)(2x + -1y) = 0Subproblem 1
Set the factor '(13x + -7y)' equal to zero and attempt to solve: Simplifying 13x + -7y = 0 Solving 13x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 13x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 13x + 0 = 0 + 7y 13x = 0 + 7y Remove the zero: 13x = 7y Divide each side by '13'. x = 0.5384615385y Simplifying x = 0.5384615385ySubproblem 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 = {0.5384615385y, 0.5y}
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