12x^2-13x+35=0

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Solution for 12x^2-13x+35=0 equation:


Simplifying
12x2 + -13x + 35 = 0

Reorder the terms:
35 + -13x + 12x2 = 0

Solving
35 + -13x + 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'.
2.916666667 + -1.083333333x + x2 = 0

Move the constant term to the right:

Add '-2.916666667' to each side of the equation.
2.916666667 + -1.083333333x + -2.916666667 + x2 = 0 + -2.916666667

Reorder the terms:
2.916666667 + -2.916666667 + -1.083333333x + x2 = 0 + -2.916666667

Combine like terms: 2.916666667 + -2.916666667 = 0.000000000
0.000000000 + -1.083333333x + x2 = 0 + -2.916666667
-1.083333333x + x2 = 0 + -2.916666667

Combine like terms: 0 + -2.916666667 = -2.916666667
-1.083333333x + x2 = -2.916666667

The x term is -1.083333333x.  Take half its coefficient (-0.5416666665).
Square it (0.2934027776) and add it to both sides.

Add '0.2934027776' to each side of the equation.
-1.083333333x + 0.2934027776 + x2 = -2.916666667 + 0.2934027776

Reorder the terms:
0.2934027776 + -1.083333333x + x2 = -2.916666667 + 0.2934027776

Combine like terms: -2.916666667 + 0.2934027776 = -2.6232638894
0.2934027776 + -1.083333333x + x2 = -2.6232638894

Factor a perfect square on the left side:
(x + -0.5416666665)(x + -0.5416666665) = -2.6232638894

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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