4x^2+41=5225

Solution for 4x^2+41=5225 equation:

Simplifying
4x2 + 41 = 5225

Reorder the terms:
41 + 4x2 = 5225

Solving
41 + 4x2 = 5225

Solving for variable 'x'.

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

Add '-41' to each side of the equation.
41 + -41 + 4x2 = 5225 + -41

Combine like terms: 41 + -41 = 0
0 + 4x2 = 5225 + -41
4x2 = 5225 + -41

Combine like terms: 5225 + -41 = 5184
4x2 = 5184

Divide each side by '4'.
x2 = 1296

Simplifying
x2 = 1296

Take the square root of each side:
x = {-36, 36}