(-4z+9)*((z^2)-5z+6)=x

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Solution for (-4z+9)*((z^2)-5z+6)=x equation: 


Simplifying
(-4z + 9)((z2) + -5z + 6) = x

Reorder the terms:
(9 + -4z)((z2) + -5z + 6) = x
(9 + -4z)(z2 + -5z + 6) = x

Reorder the terms:
(9 + -4z)(6 + -5z + z2) = x

Multiply (9 + -4z) * (6 + -5z + z2)
(9(6 + -5z + z2) + -4z * (6 + -5z + z2)) = x
((6 * 9 + -5z * 9 + z2 * 9) + -4z * (6 + -5z + z2)) = x
((54 + -45z + 9z2) + -4z * (6 + -5z + z2)) = x
(54 + -45z + 9z2 + (6 * -4z + -5z * -4z + z2 * -4z)) = x
(54 + -45z + 9z2 + (-24z + 20z2 + -4z3)) = x

Reorder the terms:
(54 + -45z + -24z + 9z2 + 20z2 + -4z3) = x

Combine like terms: -45z + -24z = -69z
(54 + -69z + 9z2 + 20z2 + -4z3) = x

Combine like terms: 9z2 + 20z2 = 29z2
(54 + -69z + 29z2 + -4z3) = x

Solving
54 + -69z + 29z2 + -4z3 = x

Solving for variable 'z'.

Reorder the terms:
54 + -1x + -69z + 29z2 + -4z3 = x + -1x

Combine like terms: x + -1x = 0
54 + -1x + -69z + 29z2 + -4z3 = 0

The solution to this equation could not be determined.

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