(2b^2+3b)+(6b^2-7b)=

Solution for (2b^2+3b)+(6b^2-7b)= equation:

Simplifying
(2b2 + 3b) + (6b2 + -7b) = 0

Reorder the terms:
(3b + 2b2) + (6b2 + -7b) = 0

Remove parenthesis around (3b + 2b2)
3b + 2b2 + (6b2 + -7b) = 0

Reorder the terms:
3b + 2b2 + (-7b + 6b2) = 0

Remove parenthesis around (-7b + 6b2)
3b + 2b2 + -7b + 6b2 = 0

Reorder the terms:
3b + -7b + 2b2 + 6b2 = 0

Combine like terms: 3b + -7b = -4b
-4b + 2b2 + 6b2 = 0

Combine like terms: 2b2 + 6b2 = 8b2
-4b + 8b2 = 0

Solving
-4b + 8b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4b'.
4b(-1 + 2b) = 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 '(-1 + 2b)' equal to zero and attempt to solve:

Simplifying
-1 + 2b = 0

Solving
-1 + 2b = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2b = 0 + 1
2b = 0 + 1

Combine like terms: 0 + 1 = 1
2b = 1

Divide each side by '2'.
b = 0.5

Simplifying
b = 0.5
Solution
b = {0, 0.5}