b^2+b-10=-10

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Solution for b^2+b-10=-10 equation: 


Simplifying
b2 + b + -10 = -10

Reorder the terms:
-10 + b + b2 = -10

Add '10' to each side of the equation.
-10 + b + 10 + b2 = -10 + 10

Reorder the terms:
-10 + 10 + b + b2 = -10 + 10

Combine like terms: -10 + 10 = 0
0 + b + b2 = -10 + 10
b + b2 = -10 + 10

Combine like terms: -10 + 10 = 0
b + b2 = 0

Solving
b + b2 = 0

Solving for variable 'b'.

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

Simplifying
1 + b = 0

Solving
1 + b = 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 + b = 0 + -1

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

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

Simplifying
b = -1
Solution
b = {0, -1}

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