8-2x(3-2x)=3(x-1)

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Solution for 8-2x(3-2x)=3(x-1) equation: 


Simplifying
8 + -2x(3 + -2x) = 3(x + -1)
8 + (3 * -2x + -2x * -2x) = 3(x + -1)
8 + (-6x + 4x2) = 3(x + -1)

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

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

Solving for variable 'x'.

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

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

Combine like terms: -6x + -3x = -9x
11 + -9x + 4x2 = -3 + 3x + 3 + -3x

Reorder the terms:
11 + -9x + 4x2 = -3 + 3 + 3x + -3x

Combine like terms: -3 + 3 = 0
11 + -9x + 4x2 = 0 + 3x + -3x
11 + -9x + 4x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -9x + 4x2 = 0

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

Divide each side by '4'.
2.75 + -2.25x + x2 = 0

Move the constant term to the right:

Add '-2.75' to each side of the equation.
2.75 + -2.25x + -2.75 + x2 = 0 + -2.75

Reorder the terms:
2.75 + -2.75 + -2.25x + x2 = 0 + -2.75

Combine like terms: 2.75 + -2.75 = 0.00
0.00 + -2.25x + x2 = 0 + -2.75
-2.25x + x2 = 0 + -2.75

Combine like terms: 0 + -2.75 = -2.75
-2.25x + x2 = -2.75

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 = -2.75 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -2.75 + 1.265625

Combine like terms: -2.75 + 1.265625 = -1.484375
1.265625 + -2.25x + x2 = -1.484375

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = -1.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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