12x^2-7x+20=0

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Solution for 12x^2-7x+20=0 equation:


Simplifying
12x2 + -7x + 20 = 0

Reorder the terms:
20 + -7x + 12x2 = 0

Solving
20 + -7x + 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'.
1.666666667 + -0.5833333333x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -0.5833333333x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -0.5833333333x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -0.5833333333x + x2 = 0 + -1.666666667
-0.5833333333x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-0.5833333333x + x2 = -1.666666667

The x term is -0.5833333333x.  Take half its coefficient (-0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
-0.5833333333x + 0.08506944446 + x2 = -1.666666667 + 0.08506944446

Reorder the terms:
0.08506944446 + -0.5833333333x + x2 = -1.666666667 + 0.08506944446

Combine like terms: -1.666666667 + 0.08506944446 = -1.58159722254
0.08506944446 + -0.5833333333x + x2 = -1.58159722254

Factor a perfect square on the left side:
(x + -0.2916666667)(x + -0.2916666667) = -1.58159722254

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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