18b^2-12b+24=0

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Solution for 18b^2-12b+24=0 equation: 


Simplifying
18b2 + -12b + 24 = 0

Reorder the terms:
24 + -12b + 18b2 = 0

Solving
24 + -12b + 18b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -2b + 3b2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(4 + -2b + 3b2)' equal to zero and attempt to solve:

Simplifying
4 + -2b + 3b2 = 0

Solving
4 + -2b + 3b2 = 0

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

Divide each side by '3'.
1.333333333 + -0.6666666667b + b2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.6666666667b + -1.333333333 + b2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.6666666667b + b2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.6666666667b + b2 = 0 + -1.333333333
-0.6666666667b + b2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.6666666667b + b2 = -1.333333333

The b term is -0.6666666667b.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667b + 0.1111111112 + b2 = -1.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667b + b2 = -1.333333333 + 0.1111111112

Combine like terms: -1.333333333 + 0.1111111112 = -1.2222222218
0.1111111112 + -0.6666666667b + b2 = -1.2222222218

Factor a perfect square on the left side:
(b + -0.3333333334)(b + -0.3333333334) = -1.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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