3x^2-21x+21x+147=294

Solution for 3x^2-21x+21x+147=294 equation:

Simplifying
3x2 + -21x + 21x + 147 = 294

Reorder the terms:
147 + -21x + 21x + 3x2 = 294

Combine like terms: -21x + 21x = 0
147 + 0 + 3x2 = 294
147 + 3x2 = 294

Solving
147 + 3x2 = 294

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 + 3x2 = 294 + -147

Combine like terms: 147 + -147 = 0
0 + 3x2 = 294 + -147
3x2 = 294 + -147

Combine like terms: 294 + -147 = 147
3x2 = 147

Divide each side by '3'.
x2 = 49

Simplifying
x2 = 49

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