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Simplifying 49x2 + 4y2 + -28yx = 0 Reorder the terms: -28xy + 49x2 + 4y2 = 0 Solving -28xy + 49x2 + 4y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + -2y)(7x + -2y) = 0Subproblem 1
Set the factor '(7x + -2y)' equal to zero and attempt to solve: Simplifying 7x + -2y = 0 Solving 7x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 7x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 7x + 0 = 0 + 2y 7x = 0 + 2y Remove the zero: 7x = 2y Divide each side by '7'. x = 0.2857142857y Simplifying x = 0.2857142857ySubproblem 2
Set the factor '(7x + -2y)' equal to zero and attempt to solve: Simplifying 7x + -2y = 0 Solving 7x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 7x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 7x + 0 = 0 + 2y 7x = 0 + 2y Remove the zero: 7x = 2y Divide each side by '7'. x = 0.2857142857y Simplifying x = 0.2857142857ySolution
x = {0.2857142857y, 0.2857142857y}
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