-10b(4b-5)-10(2b+10)=

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Solution for -10b(4b-5)-10(2b+10)= equation: 


Simplifying
-10b(4b + -5) + -10(2b + 10) = 0

Reorder the terms:
-10b(-5 + 4b) + -10(2b + 10) = 0
(-5 * -10b + 4b * -10b) + -10(2b + 10) = 0
(50b + -40b2) + -10(2b + 10) = 0

Reorder the terms:
50b + -40b2 + -10(10 + 2b) = 0
50b + -40b2 + (10 * -10 + 2b * -10) = 0
50b + -40b2 + (-100 + -20b) = 0

Reorder the terms:
-100 + 50b + -20b + -40b2 = 0

Combine like terms: 50b + -20b = 30b
-100 + 30b + -40b2 = 0

Solving
-100 + 30b + -40b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-10 + 3b + -4b2) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-10 + 3b + -4b2)' equal to zero and attempt to solve:

Simplifying
-10 + 3b + -4b2 = 0

Solving
-10 + 3b + -4b2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
2.5 + -0.75b + b2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -0.75b + -2.5 + b2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -0.75b + b2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.75b + b2 = 0 + -2.5
-0.75b + b2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.75b + b2 = -2.5

The b term is -0.75b.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75b + 0.140625 + b2 = -2.5 + 0.140625

Reorder the terms:
0.140625 + -0.75b + b2 = -2.5 + 0.140625

Combine like terms: -2.5 + 0.140625 = -2.359375
0.140625 + -0.75b + b2 = -2.359375

Factor a perfect square on the left side:
(b + -0.375)(b + -0.375) = -2.359375

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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