a^2-ag-20g^2=

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Solution for a^2-ag-20g^2= equation: 


Simplifying
a2 + -1ag + -20g2 = 0

Reorder the terms:
-1ag + a2 + -20g2 = 0

Solving
-1ag + a2 + -20g2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -5g)(a + 4g) = 0


Subproblem 1
Set the factor '(a + -5g)' equal to zero and attempt to solve:

Simplifying
a + -5g = 0

Solving
a + -5g = 0

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

Add '5g' to each side of the equation.
a + -5g + 5g = 0 + 5g

Combine like terms: -5g + 5g = 0
a + 0 = 0 + 5g
a = 0 + 5g
Remove the zero:
a = 5g

Simplifying
a = 5g

Subproblem 2
Set the factor '(a + 4g)' equal to zero and attempt to solve:

Simplifying
a + 4g = 0

Solving
a + 4g = 0

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

Add '-4g' to each side of the equation.
a + 4g + -4g = 0 + -4g

Combine like terms: 4g + -4g = 0
a + 0 = 0 + -4g
a = 0 + -4g
Remove the zero:
a = -4g

Simplifying
a = -4g
Solution
a = {5g, -4g}

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