b(4b-1)+10b=

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Solution for b(4b-1)+10b= equation: 


Simplifying
b(4b + -1) + 10b = 0

Reorder the terms:
b(-1 + 4b) + 10b = 0
(-1 * b + 4b * b) + 10b = 0
(-1b + 4b2) + 10b = 0

Reorder the terms:
-1b + 10b + 4b2 = 0

Combine like terms: -1b + 10b = 9b
9b + 4b2 = 0

Solving
9b + 4b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(9 + 4b) = 0


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 + 4b)' equal to zero and attempt to solve:

Simplifying
9 + 4b = 0

Solving
9 + 4b = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4b = 0 + -9
4b = 0 + -9

Combine like terms: 0 + -9 = -9
4b = -9

Divide each side by '4'.
b = -2.25

Simplifying
b = -2.25
Solution
b = {0, -2.25}

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