49x^2+28xy+4y^2=0

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Solution for 49x^2+28xy+4y^2=0 equation:


Simplifying
49x2 + 28xy + 4y2 = 0

Reorder the terms:
28xy + 49x2 + 4y2 = 0

Solving
28xy + 49x2 + 4y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + 2y)(7x + 2y) = 0

Subproblem 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 = -0.2857142857y

Subproblem 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 = -0.2857142857y

Solution

x = {-0.2857142857y, -0.2857142857y}

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