(2X-3)*(X-1)=-2

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Solution for (2X-3)*(X-1)=-2 equation: 


Simplifying
(2X + -3)(X + -1) = -2

Reorder the terms:
(-3 + 2X)(X + -1) = -2

Reorder the terms:
(-3 + 2X)(-1 + X) = -2

Multiply (-3 + 2X) * (-1 + X)
(-3(-1 + X) + 2X * (-1 + X)) = -2
((-1 * -3 + X * -3) + 2X * (-1 + X)) = -2
((3 + -3X) + 2X * (-1 + X)) = -2
(3 + -3X + (-1 * 2X + X * 2X)) = -2
(3 + -3X + (-2X + 2X2)) = -2

Combine like terms: -3X + -2X = -5X
(3 + -5X + 2X2) = -2

Solving
3 + -5X + 2X2 = -2

Solving for variable 'X'.

Reorder the terms:
3 + 2 + -5X + 2X2 = -2 + 2

Combine like terms: 3 + 2 = 5
5 + -5X + 2X2 = -2 + 2

Combine like terms: -2 + 2 = 0
5 + -5X + 2X2 = 0

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

Divide each side by '2'.
2.5 + -2.5X + X2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -2.5X + -2.5 + X2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -2.5X + X2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -2.5X + X2 = 0 + -2.5
-2.5X + X2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-2.5X + X2 = -2.5

The X term is -2.5X.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5X + 1.5625 + X2 = -2.5 + 1.5625

Reorder the terms:
1.5625 + -2.5X + X2 = -2.5 + 1.5625

Combine like terms: -2.5 + 1.5625 = -0.9375
1.5625 + -2.5X + X2 = -0.9375

Factor a perfect square on the left side:
(X + -1.25)(X + -1.25) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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