a^2-18ab+80ab^2=

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Solution for a^2-18ab+80ab^2= equation:


Simplifying
a2 + -18ab + 80ab2 = 0

Reorder the terms:
-18ab + 80ab2 + a2 = 0

Solving
-18ab + 80ab2 + a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-18b + 80b2 + a) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-18b + 80b2 + a)' equal to zero and attempt to solve:

Simplifying
-18b + 80b2 + a = 0

Reorder the terms:
a + -18b + 80b2 = 0

Solving
a + -18b + 80b2 = 0

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

Add '18b' to each side of the equation.
a + -18b + 18b + 80b2 = 0 + 18b

Combine like terms: -18b + 18b = 0
a + 0 + 80b2 = 0 + 18b
a + 80b2 = 0 + 18b
Remove the zero:
a + 80b2 = 18b

Add '-80b2' to each side of the equation.
a + 80b2 + -80b2 = 18b + -80b2

Combine like terms: 80b2 + -80b2 = 0
a + 0 = 18b + -80b2
a = 18b + -80b2

Simplifying
a = 18b + -80b2
Solution
a = {0, 18b + -80b2}

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