3x(x+1)-x=2(x+54)

Solution for 3x(x+1)-x=2(x+54) equation:

Simplifying
3x(x + 1) + -1x = 2(x + 54)

Reorder the terms:
3x(1 + x) + -1x = 2(x + 54)
(1 * 3x + x * 3x) + -1x = 2(x + 54)
(3x + 3x2) + -1x = 2(x + 54)

Reorder the terms:
3x + -1x + 3x2 = 2(x + 54)

Combine like terms: 3x + -1x = 2x
2x + 3x2 = 2(x + 54)

Reorder the terms:
2x + 3x2 = 2(54 + x)
2x + 3x2 = (54 * 2 + x * 2)
2x + 3x2 = (108 + 2x)

Add '-2x' to each side of the equation.
2x + -2x + 3x2 = 108 + 2x + -2x

Combine like terms: 2x + -2x = 0
0 + 3x2 = 108 + 2x + -2x
3x2 = 108 + 2x + -2x

Combine like terms: 2x + -2x = 0
3x2 = 108 + 0
3x2 = 108

Solving
3x2 = 108

Solving for variable 'x'.

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

Divide each side by '3'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}