(3x-2)(x-2)=4x-36

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Solution for (3x-2)(x-2)=4x-36 equation:


Simplifying
(3x + -2)(x + -2) = 4x + -36

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

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

Multiply (-2 + 3x) * (-2 + x)
(-2(-2 + x) + 3x * (-2 + x)) = 4x + -36
((-2 * -2 + x * -2) + 3x * (-2 + x)) = 4x + -36
((4 + -2x) + 3x * (-2 + x)) = 4x + -36
(4 + -2x + (-2 * 3x + x * 3x)) = 4x + -36
(4 + -2x + (-6x + 3x2)) = 4x + -36

Combine like terms: -2x + -6x = -8x
(4 + -8x + 3x2) = 4x + -36

Reorder the terms:
4 + -8x + 3x2 = -36 + 4x

Solving
4 + -8x + 3x2 = -36 + 4x

Solving for variable 'x'.

Reorder the terms:
4 + 36 + -8x + -4x + 3x2 = -36 + 4x + 36 + -4x

Combine like terms: 4 + 36 = 40
40 + -8x + -4x + 3x2 = -36 + 4x + 36 + -4x

Combine like terms: -8x + -4x = -12x
40 + -12x + 3x2 = -36 + 4x + 36 + -4x

Reorder the terms:
40 + -12x + 3x2 = -36 + 36 + 4x + -4x

Combine like terms: -36 + 36 = 0
40 + -12x + 3x2 = 0 + 4x + -4x
40 + -12x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
40 + -12x + 3x2 = 0

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

Divide each side by '3'.
13.33333333 + -4x + x2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + -4x + -13.33333333 + x2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + -4x + x2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + -4x + x2 = 0 + -13.33333333
-4x + x2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
-4x + x2 = -13.33333333

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -13.33333333 + 4

Reorder the terms:
4 + -4x + x2 = -13.33333333 + 4

Combine like terms: -13.33333333 + 4 = -9.33333333
4 + -4x + x2 = -9.33333333

Factor a perfect square on the left side:
(x + -2)(x + -2) = -9.33333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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