-12b^2+28b-60=0

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Solution for -12b^2+28b-60=0 equation: 


Simplifying
-12b2 + 28b + -60 = 0

Reorder the terms:
-60 + 28b + -12b2 = 0

Solving
-60 + 28b + -12b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + 7b + -3b2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-15 + 7b + -3b2)' equal to zero and attempt to solve:

Simplifying
-15 + 7b + -3b2 = 0

Solving
-15 + 7b + -3b2 = 0

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

Divide each side by '-3'.
5 + -2.333333333b + b2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2.333333333b + -5 + b2 = 0 + -5

Reorder the terms:
5 + -5 + -2.333333333b + b2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2.333333333b + b2 = 0 + -5
-2.333333333b + b2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2.333333333b + b2 = -5

The b term is -2.333333333b.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333b + 1.361111112 + b2 = -5 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333b + b2 = -5 + 1.361111112

Combine like terms: -5 + 1.361111112 = -3.638888888
1.361111112 + -2.333333333b + b2 = -3.638888888

Factor a perfect square on the left side:
(b + -1.166666667)(b + -1.166666667) = -3.638888888

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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