ab+bc-bd=

Solution for ab+bc-bd= equation:

Simplifying
ab + bc + -1bd = 0

Solving
ab + bc + -1bd = 0

Solving for variable 'a'.

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

Add '-1bc' to each side of the equation.
ab + bc + -1bc + -1bd = 0 + -1bc

Combine like terms: bc + -1bc = 0
ab + 0 + -1bd = 0 + -1bc
ab + -1bd = 0 + -1bc
Remove the zero:
ab + -1bd = -1bc

Add 'bd' to each side of the equation.
ab + -1bd + bd = -1bc + bd

Combine like terms: -1bd + bd = 0
ab + 0 = -1bc + bd
ab = -1bc + bd

Divide each side by 'b'.
a = -1c + d

Simplifying
a = -1c + d