(9z^2-2z+10)(3z+12)=

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Solution for (9z^2-2z+10)(3z+12)= equation:


Simplifying
(9z2 + -2z + 10)(3z + 12) = 0

Reorder the terms:
(10 + -2z + 9z2)(3z + 12) = 0

Reorder the terms:
(10 + -2z + 9z2)(12 + 3z) = 0

Multiply (10 + -2z + 9z2) * (12 + 3z)
(10(12 + 3z) + -2z * (12 + 3z) + 9z2 * (12 + 3z)) = 0
((12 * 10 + 3z * 10) + -2z * (12 + 3z) + 9z2 * (12 + 3z)) = 0
((120 + 30z) + -2z * (12 + 3z) + 9z2 * (12 + 3z)) = 0
(120 + 30z + (12 * -2z + 3z * -2z) + 9z2 * (12 + 3z)) = 0
(120 + 30z + (-24z + -6z2) + 9z2 * (12 + 3z)) = 0
(120 + 30z + -24z + -6z2 + (12 * 9z2 + 3z * 9z2)) = 0
(120 + 30z + -24z + -6z2 + (108z2 + 27z3)) = 0

Combine like terms: 30z + -24z = 6z
(120 + 6z + -6z2 + 108z2 + 27z3) = 0

Combine like terms: -6z2 + 108z2 = 102z2
(120 + 6z + 102z2 + 27z3) = 0

Solving
120 + 6z + 102z2 + 27z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3'.
3(40 + 2z + 34z2 + 9z3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(40 + 2z + 34z2 + 9z3)' equal to zero and attempt to solve: Simplifying 40 + 2z + 34z2 + 9z3 = 0 Solving 40 + 2z + 34z2 + 9z3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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