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Simplifying 49x2 + 14xy + y2 = 0 Reorder the terms: 14xy + 49x2 + y2 = 0 Solving 14xy + 49x2 + y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x + y)(7x + y) = 0Subproblem 1
Set the factor '(7x + y)' equal to zero and attempt to solve: Simplifying 7x + y = 0 Solving 7x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 7x + 0 = 0 + -1y 7x = 0 + -1y Remove the zero: 7x = -1y Divide each side by '7'. x = -0.1428571429y Simplifying x = -0.1428571429ySubproblem 2
Set the factor '(7x + y)' equal to zero and attempt to solve: Simplifying 7x + y = 0 Solving 7x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 7x + 0 = 0 + -1y 7x = 0 + -1y Remove the zero: 7x = -1y Divide each side by '7'. x = -0.1428571429y Simplifying x = -0.1428571429ySolution
x = {-0.1428571429y, -0.1428571429y}
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