12X^2-23X+1200=0

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Solution for 12X^2-23X+1200=0 equation:


Simplifying
12X2 + -23X + 1200 = 0

Reorder the terms:
1200 + -23X + 12X2 = 0

Solving
1200 + -23X + 12X2 = 0

Solving for variable 'X'.

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

Divide each side by '12'.
100 + -1.916666667X + X2 = 0

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -1.916666667X + -100 + X2 = 0 + -100

Reorder the terms:
100 + -100 + -1.916666667X + X2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1.916666667X + X2 = 0 + -100
-1.916666667X + X2 = 0 + -100

Combine like terms: 0 + -100 = -100
-1.916666667X + X2 = -100

The X term is -1.916666667X.  Take half its coefficient (-0.9583333335).
Square it (0.9184027781) and add it to both sides.

Add '0.9184027781' to each side of the equation.
-1.916666667X + 0.9184027781 + X2 = -100 + 0.9184027781

Reorder the terms:
0.9184027781 + -1.916666667X + X2 = -100 + 0.9184027781

Combine like terms: -100 + 0.9184027781 = -99.0815972219
0.9184027781 + -1.916666667X + X2 = -99.0815972219

Factor a perfect square on the left side:
(X + -0.9583333335)(X + -0.9583333335) = -99.0815972219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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