b^2+10b-110=-110

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Solution for b^2+10b-110=-110 equation:


Simplifying
b2 + 10b + -110 = -110

Reorder the terms:
-110 + 10b + b2 = -110

Add '110' to each side of the equation.
-110 + 10b + 110 + b2 = -110 + 110

Reorder the terms:
-110 + 110 + 10b + b2 = -110 + 110

Combine like terms: -110 + 110 = 0
0 + 10b + b2 = -110 + 110
10b + b2 = -110 + 110

Combine like terms: -110 + 110 = 0
10b + b2 = 0

Solving
10b + b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(10 + 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 '(10 + b)' equal to zero and attempt to solve: Simplifying 10 + b = 0 Solving 10 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + b = 0 + -10 b = 0 + -10 Combine like terms: 0 + -10 = -10 b = -10 Simplifying b = -10

Solution

b = {0, -10}

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