6x^2-18x=-2x^2-9x-6

Solution for 6x^2-18x=-2x^2-9x-6 equation:

Simplifying
6x2 + -18x = -2x2 + -9x + -6

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

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

Solving
-18x + 6x2 = -6 + -9x + -2x2

Solving for variable 'x'.

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

Combine like terms: -18x + 9x = -9x
6 + -9x + 6x2 + 2x2 = -6 + -9x + -2x2 + 6 + 9x + 2x2

Combine like terms: 6x2 + 2x2 = 8x2
6 + -9x + 8x2 = -6 + -9x + -2x2 + 6 + 9x + 2x2

Reorder the terms:
6 + -9x + 8x2 = -6 + 6 + -9x + 9x + -2x2 + 2x2

Combine like terms: -6 + 6 = 0
6 + -9x + 8x2 = 0 + -9x + 9x + -2x2 + 2x2
6 + -9x + 8x2 = -9x + 9x + -2x2 + 2x2

Combine like terms: -9x + 9x = 0
6 + -9x + 8x2 = 0 + -2x2 + 2x2
6 + -9x + 8x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
6 + -9x + 8x2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
0.75 + -1.125x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.125x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.125x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.125x + x2 = 0 + -0.75
-1.125x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.125x + x2 = -0.75

The x term is -1.125x.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125x + 0.31640625 + x2 = -0.75 + 0.31640625

Reorder the terms:
0.31640625 + -1.125x + x2 = -0.75 + 0.31640625

Combine like terms: -0.75 + 0.31640625 = -0.43359375
0.31640625 + -1.125x + x2 = -0.43359375

Factor a perfect square on the left side:
(x + -0.5625)(x + -0.5625) = -0.43359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.