3x(x)=3x-2(x-2)-36

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Solution for 3x(x)=3x-2(x-2)-36 equation: 


Simplifying
3x(x) = 3x + -2(x + -2) + -36

Multiply x * x
3x2 = 3x + -2(x + -2) + -36

Reorder the terms:
3x2 = 3x + -2(-2 + x) + -36
3x2 = 3x + (-2 * -2 + x * -2) + -36
3x2 = 3x + (4 + -2x) + -36

Reorder the terms:
3x2 = 4 + -36 + 3x + -2x

Combine like terms: 4 + -36 = -32
3x2 = -32 + 3x + -2x

Combine like terms: 3x + -2x = 1x
3x2 = -32 + 1x

Solving
3x2 = -32 + 1x

Solving for variable 'x'.

Reorder the terms:
32 + -1x + 3x2 = -32 + 1x + 32 + -1x

Reorder the terms:
32 + -1x + 3x2 = -32 + 32 + 1x + -1x

Combine like terms: -32 + 32 = 0
32 + -1x + 3x2 = 0 + 1x + -1x
32 + -1x + 3x2 = 1x + -1x

Combine like terms: 1x + -1x = 0
32 + -1x + 3x2 = 0

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

Divide each side by '3'.
10.66666667 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-10.66666667' to each side of the equation.
10.66666667 + -0.3333333333x + -10.66666667 + x2 = 0 + -10.66666667

Reorder the terms:
10.66666667 + -10.66666667 + -0.3333333333x + x2 = 0 + -10.66666667

Combine like terms: 10.66666667 + -10.66666667 = 0.00000000
0.00000000 + -0.3333333333x + x2 = 0 + -10.66666667
-0.3333333333x + x2 = 0 + -10.66666667

Combine like terms: 0 + -10.66666667 = -10.66666667
-0.3333333333x + x2 = -10.66666667

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -10.66666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -10.66666667 + 0.02777777779

Combine like terms: -10.66666667 + 0.02777777779 = -10.63888889221
0.02777777779 + -0.3333333333x + x2 = -10.63888889221

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -10.63888889221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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