3(4x^2-49)=27

Solution for 3(4x^2-49)=27 equation:

Simplifying
3(4x2 + -49) = 27

Reorder the terms:
3(-49 + 4x2) = 27
(-49 * 3 + 4x2 * 3) = 27
(-147 + 12x2) = 27

Solving
-147 + 12x2 = 27

Solving for variable 'x'.

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

Add '147' to each side of the equation.
-147 + 147 + 12x2 = 27 + 147

Combine like terms: -147 + 147 = 0
0 + 12x2 = 27 + 147
12x2 = 27 + 147

Combine like terms: 27 + 147 = 174
12x2 = 174

Divide each side by '12'.
x2 = 14.5

Simplifying
x2 = 14.5

Take the square root of each side:
x = {-3.807886553, 3.807886553}