4(49-x^2)=0

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

Simplifying
4(49 + -1x2) = 0
(49 * 4 + -1x2 * 4) = 0
(196 + -4x2) = 0

Solving
196 + -4x2 = 0

Solving for variable 'x'.

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

Add '-196' to each side of the equation.
196 + -196 + -4x2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -4x2 = 0 + -196
-4x2 = 0 + -196

Combine like terms: 0 + -196 = -196
-4x2 = -196

Divide each side by '-4'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}