-2=0.5x(9x-12)

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Solution for -2=0.5x(9x-12) equation: 


Simplifying
-2 = 0.5x(9x + -12)

Reorder the terms:
-2 = 0.5x(-12 + 9x)
-2 = (-12 * 0.5x + 9x * 0.5x)
-2 = (-6x + 4.5x2)

Solving
-2 = -6x + 4.5x2

Solving for variable 'x'.

Reorder the terms:
-2 + 6x + -4.5x2 = -6x + 6x + 4.5x2 + -4.5x2

Combine like terms: -6x + 6x = 0
-2 + 6x + -4.5x2 = 0 + 4.5x2 + -4.5x2
-2 + 6x + -4.5x2 = 4.5x2 + -4.5x2

Combine like terms: 4.5x2 + -4.5x2 = 0.0
-2 + 6x + -4.5x2 = 0.0

Begin completing the square.  Divide all terms by
-4.5 the coefficient of the squared term: 

Divide each side by '-4.5'.
0.4444444444 + -1.333333333x + x2 = 0

Move the constant term to the right:

Add '-0.4444444444' to each side of the equation.
0.4444444444 + -1.333333333x + -0.4444444444 + x2 = 0 + -0.4444444444

Reorder the terms:
0.4444444444 + -0.4444444444 + -1.333333333x + x2 = 0 + -0.4444444444

Combine like terms: 0.4444444444 + -0.4444444444 = 0.0000000000
0.0000000000 + -1.333333333x + x2 = 0 + -0.4444444444
-1.333333333x + x2 = 0 + -0.4444444444

Combine like terms: 0 + -0.4444444444 = -0.4444444444
-1.333333333x + x2 = -0.4444444444

The x term is -1.333333333x.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333x + 0.4444444442 + x2 = -0.4444444444 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333x + x2 = -0.4444444444 + 0.4444444442

Combine like terms: -0.4444444444 + 0.4444444442 = -0.0000000002
0.4444444442 + -1.333333333x + x2 = -0.0000000002

Factor a perfect square on the left side:
(x + -0.6666666665)(x + -0.6666666665) = -0.0000000002

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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