4x^2+x^2-49=0

Solution for 4x^2+x^2-49=0 equation:

Simplifying
4x2 + x2 + -49 = 0

Reorder the terms:
-49 + 4x2 + x2 = 0

Combine like terms: 4x2 + x2 = 5x2
-49 + 5x2 = 0

Solving
-49 + 5x2 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 5x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 5x2 = 0 + 49
5x2 = 0 + 49

Combine like terms: 0 + 49 = 49
5x2 = 49

Divide each side by '5'.
x2 = 9.8

Simplifying
x2 = 9.8

Take the square root of each side:
x = {-3.130495169, 3.130495169}