100-a=a*b

Solution for 100-a=a*b equation:

Simplifying
100 + -1a = a * b

Multiply a * b
100 + -1a = ab

Solving
100 + -1a = ab

Solving for variable 'a'.

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

Add '-1ab' to each side of the equation.
100 + -1a + -1ab = ab + -1ab

Combine like terms: ab + -1ab = 0
100 + -1a + -1ab = 0

Add '-100' to each side of the equation.
100 + -1a + -100 + -1ab = 0 + -100

Reorder the terms:
100 + -100 + -1a + -1ab = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1a + -1ab = 0 + -100
-1a + -1ab = 0 + -100

Combine like terms: 0 + -100 = -100
-1a + -1ab = -100

Reorder the terms:
100 + -1a + -1ab = -100 + 100

Combine like terms: -100 + 100 = 0
100 + -1a + -1ab = 0

The solution to this equation could not be determined.