4(-4x^2+361)=0

Solution for 4(-4x^2+361)=0 equation:

Simplifying
4(-4x2 + 361) = 0

Reorder the terms:
4(361 + -4x2) = 0
(361 * 4 + -4x2 * 4) = 0
(1444 + -16x2) = 0

Solving
1444 + -16x2 = 0

Solving for variable 'x'.

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

Add '-1444' to each side of the equation.
1444 + -1444 + -16x2 = 0 + -1444

Combine like terms: 1444 + -1444 = 0
0 + -16x2 = 0 + -1444
-16x2 = 0 + -1444

Combine like terms: 0 + -1444 = -1444
-16x2 = -1444

Divide each side by '-16'.
x2 = 90.25

Simplifying
x2 = 90.25

Take the square root of each side:
x = {-9.5, 9.5}