-4x^2+49=0

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

Simplifying
-4x2 + 49 = 0

Reorder the terms:
49 + -4x2 = 0

Solving
49 + -4x2 = 0

Solving for variable 'x'.

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

Add '-49' to each side of the equation.
49 + -49 + -4x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -4x2 = 0 + -49
-4x2 = 0 + -49

Combine like terms: 0 + -49 = -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}