8a-8(a-1)(a-1)-8a=

Solution for 8a-8(a-1)(a-1)-8a= equation:

Simplifying
8a + -8(a + -1)(a + -1) + -8a = 0

Reorder the terms:
8a + -8(-1 + a)(a + -1) + -8a = 0

Reorder the terms:
8a + -8(-1 + a)(-1 + a) + -8a = 0

Multiply (-1 + a) * (-1 + a)
8a + -8(-1(-1 + a) + a(-1 + a)) + -8a = 0
8a + -8((-1 * -1 + a * -1) + a(-1 + a)) + -8a = 0
8a + -8((1 + -1a) + a(-1 + a)) + -8a = 0
8a + -8(1 + -1a + (-1 * a + a * a)) + -8a = 0
8a + -8(1 + -1a + (-1a + a2)) + -8a = 0

Combine like terms: -1a + -1a = -2a
8a + -8(1 + -2a + a2) + -8a = 0
8a + (1 * -8 + -2a * -8 + a2 * -8) + -8a = 0
8a + (-8 + 16a + -8a2) + -8a = 0

Reorder the terms:
-8 + 8a + 16a + -8a + -8a2 = 0

Combine like terms: 8a + 16a = 24a
-8 + 24a + -8a + -8a2 = 0

Combine like terms: 24a + -8a = 16a
-8 + 16a + -8a2 = 0

Solving
-8 + 16a + -8a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + 2a + -1a2) = 0

Factor a trinomial.
8((-1 + a)(1 + -1a)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-1 + a)' equal to zero and attempt to solve:

Simplifying
-1 + a = 0

Solving
-1 + a = 0

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

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

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

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

Simplifying
a = 1
Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

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

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

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

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

Simplifying
a = 1
Solution
a = {1, 1}