=10a(a-10b)

Solution for =10a(a-10b) equation:

Simplifying
0 = 10a(a + -10b)
0 = (a * 10a + -10b * 10a)

Reorder the terms:
0 = (-100ab + 10a2)
0 = (-100ab + 10a2)

Solving
0 = -100ab + 10a2

Solving for variable 'a'.
Remove the zero:
100ab + -10a2 = -100ab + 10a2 + 100ab + -10a2

Reorder the terms:
100ab + -10a2 = -100ab + 100ab + 10a2 + -10a2

Combine like terms: -100ab + 100ab = 0
100ab + -10a2 = 0 + 10a2 + -10a2
100ab + -10a2 = 10a2 + -10a2

Combine like terms: 10a2 + -10a2 = 0
100ab + -10a2 = 0

Factor out the Greatest Common Factor (GCF), '10a'.
10a(10b + -1a) = 0

Ignore the factor 10.
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 '(10b + -1a)' equal to zero and attempt to solve:

Simplifying
10b + -1a = 0

Reorder the terms:
-1a + 10b = 0

Solving
-1a + 10b = 0

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

Add '-10b' to each side of the equation.
-1a + 10b + -10b = 0 + -10b

Combine like terms: 10b + -10b = 0
-1a + 0 = 0 + -10b
-1a = 0 + -10b
Remove the zero:
-1a = -10b

Divide each side by '-1'.
a = 10b

Simplifying
a = 10b
Solution
a = {0, 10b}