0=3x^2-16x+24

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Solution for 0=3x^2-16x+24 equation: 


Simplifying
0 = 3x2 + -16x + 24

Reorder the terms:
0 = 24 + -16x + 3x2

Solving
0 = 24 + -16x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -24 = -24
-24 + 16x + -3x2 = 24 + -16x + 3x2 + -24 + 16x + -3x2

Reorder the terms:
-24 + 16x + -3x2 = 24 + -24 + -16x + 16x + 3x2 + -3x2

Combine like terms: 24 + -24 = 0
-24 + 16x + -3x2 = 0 + -16x + 16x + 3x2 + -3x2
-24 + 16x + -3x2 = -16x + 16x + 3x2 + -3x2

Combine like terms: -16x + 16x = 0
-24 + 16x + -3x2 = 0 + 3x2 + -3x2
-24 + 16x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-24 + 16x + -3x2 = 0

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

Divide each side by '-3'.
8 + -5.333333333x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5.333333333x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -5.333333333x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5.333333333x + x2 = 0 + -8
-5.333333333x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-5.333333333x + x2 = -8

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 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333x + x2 = -8 + 7.111111113

Combine like terms: -8 + 7.111111113 = -0.888888887
7.111111113 + -5.333333333x + x2 = -0.888888887

Factor a perfect square on the left side:
(x + -2.666666667)(x + -2.666666667) = -0.888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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