6a^2-36a+8=8

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Solution for 6a^2-36a+8=8 equation: 


Simplifying
6a2 + -36a + 8 = 8

Reorder the terms:
8 + -36a + 6a2 = 8

Add '-8' to each side of the equation.
8 + -36a + -8 + 6a2 = 8 + -8

Reorder the terms:
8 + -8 + -36a + 6a2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + -36a + 6a2 = 8 + -8
-36a + 6a2 = 8 + -8

Combine like terms: 8 + -8 = 0
-36a + 6a2 = 0

Solving
-36a + 6a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6a'.
6a(-6 + a) = 0

Ignore the factor 6.

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 '(-6 + a)' equal to zero and attempt to solve:

Simplifying
-6 + a = 0

Solving
-6 + a = 0

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

Add '6' to each side of the equation.
-6 + 6 + a = 0 + 6

Combine like terms: -6 + 6 = 0
0 + a = 0 + 6
a = 0 + 6

Combine like terms: 0 + 6 = 6
a = 6

Simplifying
a = 6
Solution
a = {0, 6}

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