(10b^2-b-3)(20b^2+12b)=

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Solution for (10b^2-b-3)(20b^2+12b)= equation: 


Simplifying
(10b2 + -1b + -3)(20b2 + 12b) = 0

Reorder the terms:
(-3 + -1b + 10b2)(20b2 + 12b) = 0

Reorder the terms:
(-3 + -1b + 10b2)(12b + 20b2) = 0

Multiply (-3 + -1b + 10b2) * (12b + 20b2)
(-3(12b + 20b2) + -1b * (12b + 20b2) + 10b2 * (12b + 20b2)) = 0
((12b * -3 + 20b2 * -3) + -1b * (12b + 20b2) + 10b2 * (12b + 20b2)) = 0
((-36b + -60b2) + -1b * (12b + 20b2) + 10b2 * (12b + 20b2)) = 0
(-36b + -60b2 + (12b * -1b + 20b2 * -1b) + 10b2 * (12b + 20b2)) = 0
(-36b + -60b2 + (-12b2 + -20b3) + 10b2 * (12b + 20b2)) = 0
(-36b + -60b2 + -12b2 + -20b3 + (12b * 10b2 + 20b2 * 10b2)) = 0
(-36b + -60b2 + -12b2 + -20b3 + (120b3 + 200b4)) = 0

Combine like terms: -60b2 + -12b2 = -72b2
(-36b + -72b2 + -20b3 + 120b3 + 200b4) = 0

Combine like terms: -20b3 + 120b3 = 100b3
(-36b + -72b2 + 100b3 + 200b4) = 0

Solving
-36b + -72b2 + 100b3 + 200b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-9 + -18b + 25b2 + 50b3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

Move all terms containing b to the left, all other terms to the right.

Simplifying
b = 0

Subproblem 2
Set the factor '(-9 + -18b + 25b2 + 50b3)' equal to zero and attempt to solve:

Simplifying
-9 + -18b + 25b2 + 50b3 = 0

Solving
-9 + -18b + 25b2 + 50b3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}

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