=12b^4-30b^3-44b^2+10b

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Solution for =12b^4-30b^3-44b^2+10b equation:


Simplifying
0 = 12b4 + -30b3 + -44b2 + 10b

Reorder the terms:
0 = 10b + -44b2 + -30b3 + 12b4

Solving
0 = 10b + -44b2 + -30b3 + 12b4

Solving for variable 'b'.
Remove the zero:
-10b + 44b2 + 30b3 + -12b4 = 10b + -44b2 + -30b3 + 12b4 + -10b + 44b2 + 30b3 + -12b4

Reorder the terms:
-10b + 44b2 + 30b3 + -12b4 = 10b + -10b + -44b2 + 44b2 + -30b3 + 30b3 + 12b4 + -12b4

Combine like terms: 10b + -10b = 0
-10b + 44b2 + 30b3 + -12b4 = 0 + -44b2 + 44b2 + -30b3 + 30b3 + 12b4 + -12b4
-10b + 44b2 + 30b3 + -12b4 = -44b2 + 44b2 + -30b3 + 30b3 + 12b4 + -12b4

Combine like terms: -44b2 + 44b2 = 0
-10b + 44b2 + 30b3 + -12b4 = 0 + -30b3 + 30b3 + 12b4 + -12b4
-10b + 44b2 + 30b3 + -12b4 = -30b3 + 30b3 + 12b4 + -12b4

Combine like terms: -30b3 + 30b3 = 0
-10b + 44b2 + 30b3 + -12b4 = 0 + 12b4 + -12b4
-10b + 44b2 + 30b3 + -12b4 = 12b4 + -12b4

Combine like terms: 12b4 + -12b4 = 0
-10b + 44b2 + 30b3 + -12b4 = 0

Factor out the Greatest Common Factor (GCF), '2b'.
2b(-5 + 22b + 15b2 + -6b3) = 0

Ignore the factor 2.

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 '(-5 + 22b + 15b2 + -6b3)' equal to zero and attempt to solve: Simplifying -5 + 22b + 15b2 + -6b3 = 0 Solving -5 + 22b + 15b2 + -6b3 = 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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