3x^2-47=100

Solution for 3x^2-47=100 equation:

Simplifying
3x2 + -47 = 100

Reorder the terms:
-47 + 3x2 = 100

Solving
-47 + 3x2 = 100

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 47 + 3x2 = 100 + 47

Combine like terms: -47 + 47 = 0
0 + 3x2 = 100 + 47
3x2 = 100 + 47

Combine like terms: 100 + 47 = 147
3x2 = 147

Divide each side by '3'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}