100x^2+140xy+49y^2=0

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Solution for 100x^2+140xy+49y^2=0 equation: 


Simplifying
100x2 + 140xy + 49y2 = 0

Reorder the terms:
140xy + 100x2 + 49y2 = 0

Solving
140xy + 100x2 + 49y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10x + 7y)(10x + 7y) = 0


Subproblem 1
Set the factor '(10x + 7y)' equal to zero and attempt to solve:

Simplifying
10x + 7y = 0

Solving
10x + 7y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.
10x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
10x + 0 = 0 + -7y
10x = 0 + -7y
Remove the zero:
10x = -7y

Divide each side by '10'.
x = -0.7y

Simplifying
x = -0.7y

Subproblem 2
Set the factor '(10x + 7y)' equal to zero and attempt to solve:

Simplifying
10x + 7y = 0

Solving
10x + 7y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7y' to each side of the equation.
10x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
10x + 0 = 0 + -7y
10x = 0 + -7y
Remove the zero:
10x = -7y

Divide each side by '10'.
x = -0.7y

Simplifying
x = -0.7y
Solution
x = {-0.7y, -0.7y}

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