a^2-9ad+20d^2=

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Solution for a^2-9ad+20d^2= equation: 


Simplifying
a2 + -9ad + 20d2 = 0

Reorder the terms:
-9ad + a2 + 20d2 = 0

Solving
-9ad + a2 + 20d2 = 0

Solving for variable 'a'.

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


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

Simplifying
a + -5d = 0

Solving
a + -5d = 0

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

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

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

Simplifying
a = 5d

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

Simplifying
a + -4d = 0

Solving
a + -4d = 0

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

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

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

Simplifying
a = 4d
Solution
a = {5d, 4d}

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