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

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


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

Multiply x * x
3(x2 + -2x + -1) = 4(x * x + -3x + 2)

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

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

Reorder the terms:
-3 + -6x + 3x2 = 4(2 + -3x + x2)
-3 + -6x + 3x2 = (2 * 4 + -3x * 4 + x2 * 4)
-3 + -6x + 3x2 = (8 + -12x + 4x2)

Solving
-3 + -6x + 3x2 = 8 + -12x + 4x2

Solving for variable 'x'.

Reorder the terms:
-3 + -8 + -6x + 12x + 3x2 + -4x2 = 8 + -12x + 4x2 + -8 + 12x + -4x2

Combine like terms: -3 + -8 = -11
-11 + -6x + 12x + 3x2 + -4x2 = 8 + -12x + 4x2 + -8 + 12x + -4x2

Combine like terms: -6x + 12x = 6x
-11 + 6x + 3x2 + -4x2 = 8 + -12x + 4x2 + -8 + 12x + -4x2

Combine like terms: 3x2 + -4x2 = -1x2
-11 + 6x + -1x2 = 8 + -12x + 4x2 + -8 + 12x + -4x2

Reorder the terms:
-11 + 6x + -1x2 = 8 + -8 + -12x + 12x + 4x2 + -4x2

Combine like terms: 8 + -8 = 0
-11 + 6x + -1x2 = 0 + -12x + 12x + 4x2 + -4x2
-11 + 6x + -1x2 = -12x + 12x + 4x2 + -4x2

Combine like terms: -12x + 12x = 0
-11 + 6x + -1x2 = 0 + 4x2 + -4x2
-11 + 6x + -1x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-11 + 6x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
11 + -6x + x2 = 0

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -6x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -6x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6x + x2 = 0 + -11
-6x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-6x + x2 = -11

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -11 + 9

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

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

Factor a perfect square on the left side:
(x + -3)(x + -3) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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