4(x^2-11)=5

Solution for 4(x^2-11)=5 equation:

Simplifying
4(x2 + -11) = 5

Reorder the terms:
4(-11 + x2) = 5
(-11 * 4 + x2 * 4) = 5
(-44 + 4x2) = 5

Solving
-44 + 4x2 = 5

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + 4x2 = 5 + 44

Combine like terms: -44 + 44 = 0
0 + 4x2 = 5 + 44
4x2 = 5 + 44

Combine like terms: 5 + 44 = 49
4x2 = 49

Divide each side by '4'.
x2 = 12.25

Simplifying
x2 = 12.25

Take the square root of each side:
x = {-3.5, 3.5}