18b^2+98b+105=-3b^2

Solution for 18b^2+98b+105=-3b^2 equation:

Simplifying
18b2 + 98b + 105 = -3b2

Reorder the terms:
105 + 98b + 18b2 = -3b2

Solving
105 + 98b + 18b2 = -3b2

Solving for variable 'b'.

Combine like terms: 18b2 + 3b2 = 21b2
105 + 98b + 21b2 = -3b2 + 3b2

Combine like terms: -3b2 + 3b2 = 0
105 + 98b + 21b2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(15 + 14b + 3b2) = 0

Factor a trinomial.
7((3 + b)(5 + 3b)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(3 + b)' equal to zero and attempt to solve:

Simplifying
3 + b = 0

Solving
3 + b = 0

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

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

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

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

Simplifying
b = -3
Subproblem 2
Set the factor '(5 + 3b)' equal to zero and attempt to solve:

Simplifying
5 + 3b = 0

Solving
5 + 3b = 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 + 3b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3b = 0 + -5
3b = 0 + -5

Combine like terms: 0 + -5 = -5
3b = -5

Divide each side by '3'.
b = -1.666666667

Simplifying
b = -1.666666667
Solution
b = {-3, -1.666666667}