Z^2(a+b)+z^3(a+b)=0

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Solution for Z^2(a+b)+z^3(a+b)=0 equation: 


Simplifying
Z2(a + b) + z3(a + b) = 0
(a * Z2 + b * Z2) + z3(a + b) = 0
(aZ2 + bZ2) + z3(a + b) = 0
aZ2 + bZ2 + (a * z3 + b * z3) = 0
aZ2 + bZ2 + (az3 + bz3) = 0

Reorder the terms:
aZ2 + az3 + bZ2 + bz3 = 0

Solving
aZ2 + az3 + bZ2 + bz3 = 0

Solving for variable 'a'.

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

Add '-1bZ2' to each side of the equation.
aZ2 + az3 + bZ2 + -1bZ2 + bz3 = 0 + -1bZ2

Combine like terms: bZ2 + -1bZ2 = 0
aZ2 + az3 + 0 + bz3 = 0 + -1bZ2
aZ2 + az3 + bz3 = 0 + -1bZ2
Remove the zero:
aZ2 + az3 + bz3 = -1bZ2

Add '-1bz3' to each side of the equation.
aZ2 + az3 + bz3 + -1bz3 = -1bZ2 + -1bz3

Combine like terms: bz3 + -1bz3 = 0
aZ2 + az3 + 0 = -1bZ2 + -1bz3
aZ2 + az3 = -1bZ2 + -1bz3

Reorder the terms:
aZ2 + az3 + bZ2 + bz3 = -1bZ2 + bZ2 + -1bz3 + bz3

Combine like terms: -1bZ2 + bZ2 = 0
aZ2 + az3 + bZ2 + bz3 = 0 + -1bz3 + bz3
aZ2 + az3 + bZ2 + bz3 = -1bz3 + bz3

Combine like terms: -1bz3 + bz3 = 0
aZ2 + az3 + bZ2 + bz3 = 0

The solution to this equation could not be determined.

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