4x^2-49+12=0

Solution for 4x^2-49+12=0 equation:

Simplifying
4x2 + -49 + 12 = 0

Reorder the terms:
-49 + 12 + 4x2 = 0

Combine like terms: -49 + 12 = -37
-37 + 4x2 = 0

Solving
-37 + 4x2 = 0

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 4x2 = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 4x2 = 0 + 37
4x2 = 0 + 37

Combine like terms: 0 + 37 = 37
4x2 = 37

Divide each side by '4'.
x2 = 9.25

Simplifying
x2 = 9.25

Take the square root of each side:
x = {-3.041381265, 3.041381265}