(50b)(50b)+20b+2=0

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Solution for (50b)(50b)+20b+2=0 equation:


Simplifying
(50b)(50b) + 20b + 2 = 0

Remove parenthesis around (50b)
50b(50b) + 20b + 2 = 0

Remove parenthesis around (50b)
50b * 50b + 20b + 2 = 0

Reorder the terms for easier multiplication:
50 * 50b * b + 20b + 2 = 0

Multiply 50 * 50
2500b * b + 20b + 2 = 0

Multiply b * b
2500b2 + 20b + 2 = 0

Reorder the terms:
2 + 20b + 2500b2 = 0

Solving
2 + 20b + 2500b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 10b + 1250b2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + 10b + 1250b2)' equal to zero and attempt to solve:

Simplifying
1 + 10b + 1250b2 = 0

Solving
1 + 10b + 1250b2 = 0

Begin completing the square.  Divide all terms by
1250 the coefficient of the squared term: 

Divide each side by '1250'.
0.0008 + 0.008b + b2 = 0.0

Move the constant term to the right:

Add '-0.0008' to each side of the equation.
0.0008 + 0.008b + -0.0008 + b2 = 0.0 + -0.0008

Reorder the terms:
0.0008 + -0.0008 + 0.008b + b2 = 0.0 + -0.0008

Combine like terms: 0.0008 + -0.0008 = 0.0000
0.0000 + 0.008b + b2 = 0.0 + -0.0008
0.008b + b2 = 0.0 + -0.0008

Combine like terms: 0.0 + -0.0008 = -0.0008
0.008b + b2 = -0.0008

The b term is 0.008b.  Take half its coefficient (0.004).
Square it (0.000016) and add it to both sides.

Add '0.000016' to each side of the equation.
0.008b + 0.000016 + b2 = -0.0008 + 0.000016

Reorder the terms:
0.000016 + 0.008b + b2 = -0.0008 + 0.000016

Combine like terms: -0.0008 + 0.000016 = -0.000784
0.000016 + 0.008b + b2 = -0.000784

Factor a perfect square on the left side:
(b + 0.004)(b + 0.004) = -0.000784

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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