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Simplifying 36x2 + -84xy + 49y2 = 0 Reorder the terms: -84xy + 36x2 + 49y2 = 0 Solving -84xy + 36x2 + 49y2 = 0 Solving for variable 'x'. Factor a trinomial. (6x + -7y)(6x + -7y) = 0Subproblem 1
Set the factor '(6x + -7y)' equal to zero and attempt to solve: Simplifying 6x + -7y = 0 Solving 6x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 6x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 6x + 0 = 0 + 7y 6x = 0 + 7y Remove the zero: 6x = 7y Divide each side by '6'. x = 1.166666667y Simplifying x = 1.166666667ySubproblem 2
Set the factor '(6x + -7y)' equal to zero and attempt to solve: Simplifying 6x + -7y = 0 Solving 6x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 6x + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 6x + 0 = 0 + 7y 6x = 0 + 7y Remove the zero: 6x = 7y Divide each side by '6'. x = 1.166666667y Simplifying x = 1.166666667ySolution
x = {1.166666667y, 1.166666667y}
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