a(b-2)-b(a+1)=

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Solution for a(b-2)-b(a+1)= equation:


Simplifying
a(b + -2) + -1b(a + 1) = 0

Reorder the terms:
a(-2 + b) + -1b(a + 1) = 0
(-2 * a + b * a) + -1b(a + 1) = 0
(-2a + ab) + -1b(a + 1) = 0

Reorder the terms:
-2a + ab + -1b(1 + a) = 0
-2a + ab + (1 * -1b + a * -1b) = 0

Reorder the terms:
-2a + ab + (-1ab + -1b) = 0
-2a + ab + (-1ab + -1b) = 0

Combine like terms: ab + -1ab = 0
-2a + 0 + -1b = 0
-2a + -1b = 0

Solving
-2a + -1b = 0

Solving for variable 'a'.

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

Add 'b' to each side of the equation.
-2a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
-2a + 0 = 0 + b
-2a = 0 + b
Remove the zero:
-2a = b

Divide each side by '-2'.
a = -0.5b

Simplifying
a = -0.5b

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