4b^2-14b+60=0

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Solution for 4b^2-14b+60=0 equation: 


Simplifying
4b2 + -14b + 60 = 0

Reorder the terms:
60 + -14b + 4b2 = 0

Solving
60 + -14b + 4b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + -7b + 2b2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(30 + -7b + 2b2)' equal to zero and attempt to solve:

Simplifying
30 + -7b + 2b2 = 0

Solving
30 + -7b + 2b2 = 0

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

Divide each side by '2'.
15 + -3.5b + b2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -3.5b + -15 + b2 = 0 + -15

Reorder the terms:
15 + -15 + -3.5b + b2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -3.5b + b2 = 0 + -15
-3.5b + b2 = 0 + -15

Combine like terms: 0 + -15 = -15
-3.5b + b2 = -15

The b term is -3.5b.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5b + 3.0625 + b2 = -15 + 3.0625

Reorder the terms:
3.0625 + -3.5b + b2 = -15 + 3.0625

Combine like terms: -15 + 3.0625 = -11.9375
3.0625 + -3.5b + b2 = -11.9375

Factor a perfect square on the left side:
(b + -1.75)(b + -1.75) = -11.9375

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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