0=3x^2-16x+26

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Solution for 0=3x^2-16x+26 equation: 


Simplifying
0 = 3x2 + -16x + 26

Reorder the terms:
0 = 26 + -16x + 3x2

Solving
0 = 26 + -16x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -26 = -26
-26 + 16x + -3x2 = 26 + -16x + 3x2 + -26 + 16x + -3x2

Reorder the terms:
-26 + 16x + -3x2 = 26 + -26 + -16x + 16x + 3x2 + -3x2

Combine like terms: 26 + -26 = 0
-26 + 16x + -3x2 = 0 + -16x + 16x + 3x2 + -3x2
-26 + 16x + -3x2 = -16x + 16x + 3x2 + -3x2

Combine like terms: -16x + 16x = 0
-26 + 16x + -3x2 = 0 + 3x2 + -3x2
-26 + 16x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-26 + 16x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
8.666666667 + -5.333333333x + x2 = 0

Move the constant term to the right:

Add '-8.666666667' to each side of the equation.
8.666666667 + -5.333333333x + -8.666666667 + x2 = 0 + -8.666666667

Reorder the terms:
8.666666667 + -8.666666667 + -5.333333333x + x2 = 0 + -8.666666667

Combine like terms: 8.666666667 + -8.666666667 = 0.000000000
0.000000000 + -5.333333333x + x2 = 0 + -8.666666667
-5.333333333x + x2 = 0 + -8.666666667

Combine like terms: 0 + -8.666666667 = -8.666666667
-5.333333333x + x2 = -8.666666667

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 = -8.666666667 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333x + x2 = -8.666666667 + 7.111111113

Combine like terms: -8.666666667 + 7.111111113 = -1.555555554
7.111111113 + -5.333333333x + x2 = -1.555555554

Factor a perfect square on the left side:
(x + -2.666666667)(x + -2.666666667) = -1.555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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