b^2-2bg-80g^2=0

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Solution for b^2-2bg-80g^2=0 equation: 


Simplifying
b2 + -2bg + -80g2 = 0

Reorder the terms:
-2bg + b2 + -80g2 = 0

Solving
-2bg + b2 + -80g2 = 0

Solving for variable 'b'.

Factor a trinomial.
(b + -10g)(b + 8g) = 0


Subproblem 1
Set the factor '(b + -10g)' equal to zero and attempt to solve:

Simplifying
b + -10g = 0

Solving
b + -10g = 0

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

Add '10g' to each side of the equation.
b + -10g + 10g = 0 + 10g

Combine like terms: -10g + 10g = 0
b + 0 = 0 + 10g
b = 0 + 10g
Remove the zero:
b = 10g

Simplifying
b = 10g

Subproblem 2
Set the factor '(b + 8g)' equal to zero and attempt to solve:

Simplifying
b + 8g = 0

Solving
b + 8g = 0

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

Add '-8g' to each side of the equation.
b + 8g + -8g = 0 + -8g

Combine like terms: 8g + -8g = 0
b + 0 = 0 + -8g
b = 0 + -8g
Remove the zero:
b = -8g

Simplifying
b = -8g
Solution
b = {10g, -8g}

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