4(x^2-49)=0

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

Simplifying
4(x2 + -49) = 0

Reorder the terms:
4(-49 + x2) = 0
(-49 * 4 + x2 * 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}