a(a-9)(a-8)=0

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Solution for a(a-9)(a-8)=0 equation: 


Simplifying
a(a + -9)(a + -8) = 0

Reorder the terms:
a(-9 + a)(a + -8) = 0

Reorder the terms:
a(-9 + a)(-8 + a) = 0

Multiply (-9 + a) * (-8 + a)
a(-9(-8 + a) + a(-8 + a)) = 0
a((-8 * -9 + a * -9) + a(-8 + a)) = 0
a((72 + -9a) + a(-8 + a)) = 0
a(72 + -9a + (-8 * a + a * a)) = 0
a(72 + -9a + (-8a + a2)) = 0

Combine like terms: -9a + -8a = -17a
a(72 + -17a + a2) = 0
(72 * a + -17a * a + a2 * a) = 0
(72a + -17a2 + a3) = 0

Solving
72a + -17a2 + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(72 + -17a + a2) = 0

Factor a trinomial.
a((8 + -1a)(9 + -1a)) = 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 '(8 + -1a)' equal to zero and attempt to solve:

Simplifying
8 + -1a = 0

Solving
8 + -1a = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 0 + -8
-1a = 0 + -8

Combine like terms: 0 + -8 = -8
-1a = -8

Divide each side by '-1'.
a = 8

Simplifying
a = 8

Subproblem 3
Set the factor '(9 + -1a)' equal to zero and attempt to solve:

Simplifying
9 + -1a = 0

Solving
9 + -1a = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1a = 0 + -9
-1a = 0 + -9

Combine like terms: 0 + -9 = -9
-1a = -9

Divide each side by '-1'.
a = 9

Simplifying
a = 9
Solution
a = {0, 8, 9}

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