x=12x^2-32x+64

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Solution for x=12x^2-32x+64 equation: 


Simplifying
x = 12x2 + -32x + 64

Reorder the terms:
x = 64 + -32x + 12x2

Solving
x = 64 + -32x + 12x2

Solving for variable 'x'.

Reorder the terms:
-64 + x + 32x + -12x2 = 64 + -32x + 12x2 + -64 + 32x + -12x2

Combine like terms: x + 32x = 33x
-64 + 33x + -12x2 = 64 + -32x + 12x2 + -64 + 32x + -12x2

Reorder the terms:
-64 + 33x + -12x2 = 64 + -64 + -32x + 32x + 12x2 + -12x2

Combine like terms: 64 + -64 = 0
-64 + 33x + -12x2 = 0 + -32x + 32x + 12x2 + -12x2
-64 + 33x + -12x2 = -32x + 32x + 12x2 + -12x2

Combine like terms: -32x + 32x = 0
-64 + 33x + -12x2 = 0 + 12x2 + -12x2
-64 + 33x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-64 + 33x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
5.333333333 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + -2.75x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + -2.75x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + -2.75x + x2 = 0 + -5.333333333
-2.75x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
-2.75x + x2 = -5.333333333

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = -5.333333333 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -5.333333333 + 1.890625

Combine like terms: -5.333333333 + 1.890625 = -3.442708333
1.890625 + -2.75x + x2 = -3.442708333

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -3.442708333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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