3(x*x+4)=312

Solution for 3(x*x+4)=312 equation:

Simplifying
3(x * x + 4) = 312

Multiply x * x
3(x2 + 4) = 312

Reorder the terms:
3(4 + x2) = 312
(4 * 3 + x2 * 3) = 312
(12 + 3x2) = 312

Solving
12 + 3x2 = 312

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 3x2 = 312 + -12

Combine like terms: 12 + -12 = 0
0 + 3x2 = 312 + -12
3x2 = 312 + -12

Combine like terms: 312 + -12 = 300
3x2 = 300

Divide each side by '3'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}