6(2x^2-1)=x[x-3(6-3x)+2x]

Solution for 6(2x^2-1)=x[x-3(6-3x)+2x] equation:

Simplifying
6(2x2 + -1) = x[x + -3(6 + -3x) + 2x]

Reorder the terms:
6(-1 + 2x2) = x[x + -3(6 + -3x) + 2x]
(-1 * 6 + 2x2 * 6) = x[x + -3(6 + -3x) + 2x]
(-6 + 12x2) = x[x + -3(6 + -3x) + 2x]
-6 + 12x2 = x[x + (6 * -3 + -3x * -3) + 2x]
-6 + 12x2 = x[x + (-18 + 9x) + 2x]

Reorder the terms:
-6 + 12x2 = x[-18 + x + 9x + 2x]

Combine like terms: x + 9x = 10x
-6 + 12x2 = x[-18 + 10x + 2x]

Combine like terms: 10x + 2x = 12x
-6 + 12x2 = x[-18 + 12x]
-6 + 12x2 = [-18 * x + 12x * x]
-6 + 12x2 = [-18x + 12x2]

Add '-12x2' to each side of the equation.
-6 + 12x2 + -12x2 = -18x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-6 + 0 = -18x + 12x2 + -12x2
-6 = -18x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-6 = -18x + 0
-6 = -18x

Solving
-6 = -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-6 + 18x = -18x + 18x

Combine like terms: -18x + 18x = 0
-6 + 18x = 0

Add '6' to each side of the equation.
-6 + 6 + 18x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 18x = 0 + 6
18x = 0 + 6

Combine like terms: 0 + 6 = 6
18x = 6

Divide each side by '18'.
x = 0.3333333333

Simplifying
x = 0.3333333333