2x(3x-4)-3(x-3)=2x(x-1)

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Solution for 2x(3x-4)-3(x-3)=2x(x-1) equation: 


Simplifying
2x(3x + -4) + -3(x + -3) = 2x(x + -1)

Reorder the terms:
2x(-4 + 3x) + -3(x + -3) = 2x(x + -1)
(-4 * 2x + 3x * 2x) + -3(x + -3) = 2x(x + -1)
(-8x + 6x2) + -3(x + -3) = 2x(x + -1)

Reorder the terms:
-8x + 6x2 + -3(-3 + x) = 2x(x + -1)
-8x + 6x2 + (-3 * -3 + x * -3) = 2x(x + -1)
-8x + 6x2 + (9 + -3x) = 2x(x + -1)

Reorder the terms:
9 + -8x + -3x + 6x2 = 2x(x + -1)

Combine like terms: -8x + -3x = -11x
9 + -11x + 6x2 = 2x(x + -1)

Reorder the terms:
9 + -11x + 6x2 = 2x(-1 + x)
9 + -11x + 6x2 = (-1 * 2x + x * 2x)
9 + -11x + 6x2 = (-2x + 2x2)

Solving
9 + -11x + 6x2 = -2x + 2x2

Solving for variable 'x'.

Reorder the terms:
9 + -11x + 2x + 6x2 + -2x2 = -2x + 2x2 + 2x + -2x2

Combine like terms: -11x + 2x = -9x
9 + -9x + 6x2 + -2x2 = -2x + 2x2 + 2x + -2x2

Combine like terms: 6x2 + -2x2 = 4x2
9 + -9x + 4x2 = -2x + 2x2 + 2x + -2x2

Reorder the terms:
9 + -9x + 4x2 = -2x + 2x + 2x2 + -2x2

Combine like terms: -2x + 2x = 0
9 + -9x + 4x2 = 0 + 2x2 + -2x2
9 + -9x + 4x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
9 + -9x + 4x2 = 0

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

Divide each side by '4'.
2.25 + -2.25x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -2.25x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -2.25x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -2.25x + x2 = 0 + -2.25
-2.25x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-2.25x + x2 = -2.25

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = -2.25 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -2.25 + 1.265625

Combine like terms: -2.25 + 1.265625 = -0.984375
1.265625 + -2.25x + x2 = -0.984375

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = -0.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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