6x^2-32x+45=0

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Solution for 6x^2-32x+45=0 equation: 


Simplifying
6x2 + -32x + 45 = 0

Reorder the terms:
45 + -32x + 6x2 = 0

Solving
45 + -32x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
7.5 + -5.333333333x + x2 = 0

Move the constant term to the right:

Add '-7.5' to each side of the equation.
7.5 + -5.333333333x + -7.5 + x2 = 0 + -7.5

Reorder the terms:
7.5 + -7.5 + -5.333333333x + x2 = 0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -5.333333333x + x2 = 0 + -7.5
-5.333333333x + x2 = 0 + -7.5

Combine like terms: 0 + -7.5 = -7.5
-5.333333333x + x2 = -7.5

The x term is -5.333333333x.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333x + 7.111111113 + x2 = -7.5 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333x + x2 = -7.5 + 7.111111113

Combine like terms: -7.5 + 7.111111113 = -0.388888887
7.111111113 + -5.333333333x + x2 = -0.388888887

Factor a perfect square on the left side:
(x + -2.666666667)(x + -2.666666667) = -0.388888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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