4x^2-49=80

Solution for 4x^2-49=80 equation:

Simplifying
4x2 + -49 = 80

Reorder the terms:
-49 + 4x2 = 80

Solving
-49 + 4x2 = 80

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 + 4x2 = 80 + 49

Combine like terms: -49 + 49 = 0
0 + 4x2 = 80 + 49
4x2 = 80 + 49

Combine like terms: 80 + 49 = 129
4x2 = 129

Divide each side by '4'.
x2 = 32.25

Simplifying
x2 = 32.25

Take the square root of each side:
x = {-5.678908346, 5.678908346}