15b^2+108=8+95b

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Solution for 15b^2+108=8+95b equation: 


Simplifying
15b2 + 108 = 8 + 95b

Reorder the terms:
108 + 15b2 = 8 + 95b

Solving
108 + 15b2 = 8 + 95b

Solving for variable 'b'.

Reorder the terms:
108 + -8 + -95b + 15b2 = 8 + 95b + -8 + -95b

Combine like terms: 108 + -8 = 100
100 + -95b + 15b2 = 8 + 95b + -8 + -95b

Reorder the terms:
100 + -95b + 15b2 = 8 + -8 + 95b + -95b

Combine like terms: 8 + -8 = 0
100 + -95b + 15b2 = 0 + 95b + -95b
100 + -95b + 15b2 = 95b + -95b

Combine like terms: 95b + -95b = 0
100 + -95b + 15b2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(20 + -19b + 3b2) = 0

Factor a trinomial.
5((4 + -3b)(5 + -1b)) = 0

Ignore the factor 5.

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

Simplifying
4 + -3b = 0

Solving
4 + -3b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3b = 0 + -4
-3b = 0 + -4

Combine like terms: 0 + -4 = -4
-3b = -4

Divide each side by '-3'.
b = 1.333333333

Simplifying
b = 1.333333333

Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve:

Simplifying
5 + -1b = 0

Solving
5 + -1b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1b = 0 + -5
-1b = 0 + -5

Combine like terms: 0 + -5 = -5
-1b = -5

Divide each side by '-1'.
b = 5

Simplifying
b = 5
Solution
b = {1.333333333, 5}

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