8x^2-13x+12=0

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Solution for 8x^2-13x+12=0 equation:


Simplifying
8x2 + -13x + 12 = 0

Reorder the terms:
12 + -13x + 8x2 = 0

Solving
12 + -13x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
1.5 + -1.625x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1.625x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1.625x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.625x + x2 = 0 + -1.5
-1.625x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1.625x + x2 = -1.5

The x term is -1.625x.  Take half its coefficient (-0.8125).
Square it (0.66015625) and add it to both sides.

Add '0.66015625' to each side of the equation.
-1.625x + 0.66015625 + x2 = -1.5 + 0.66015625

Reorder the terms:
0.66015625 + -1.625x + x2 = -1.5 + 0.66015625

Combine like terms: -1.5 + 0.66015625 = -0.83984375
0.66015625 + -1.625x + x2 = -0.83984375

Factor a perfect square on the left side:
(x + -0.8125)(x + -0.8125) = -0.83984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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