49x^2+x^2-25=0

Solution for 49x^2+x^2-25=0 equation:

Simplifying
49x2 + x2 + -25 = 0

Reorder the terms:
-25 + 49x2 + x2 = 0

Combine like terms: 49x2 + x2 = 50x2
-25 + 50x2 = 0

Solving
-25 + 50x2 = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 50x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 50x2 = 0 + 25
50x2 = 0 + 25

Combine like terms: 0 + 25 = 25
50x2 = 25

Divide each side by '50'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}