-[3z^2+4z-(2z^2-8z)]+[(9z^2-[5z-z^2])+5z^2]=

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Solution for -[3z^2+4z-(2z^2-8z)]+[(9z^2-[5z-z^2])+5z^2]= equation: 


Simplifying
-1[3z2 + 4z + -1(2z2 + -8z)] + [(9z2 + -1[5z + -1z2]) + 5z2] = 0

Reorder the terms:
-1[3z2 + 4z + -1(-8z + 2z2)] + [(9z2 + -1[5z + -1z2]) + 5z2] = 0
-1[3z2 + 4z + (-8z * -1 + 2z2 * -1)] + [(9z2 + -1[5z + -1z2]) + 5z2] = 0
-1[3z2 + 4z + (8z + -2z2)] + [(9z2 + -1[5z + -1z2]) + 5z2] = 0

Reorder the terms:
-1[4z + 8z + 3z2 + -2z2] + [(9z2 + -1[5z + -1z2]) + 5z2] = 0

Combine like terms: 4z + 8z = 12z
-1[12z + 3z2 + -2z2] + [(9z2 + -1[5z + -1z2]) + 5z2] = 0

Combine like terms: 3z2 + -2z2 = 1z2
-1[12z + 1z2] + [(9z2 + -1[5z + -1z2]) + 5z2] = 0
[12z * -1 + 1z2 * -1] + [(9z2 + -1[5z + -1z2]) + 5z2] = 0
[-12z + -1z2] + [(9z2 + -1[5z + -1z2]) + 5z2] = 0
-12z + -1z2 + [(9z2 + [5z * -1 + -1z2 * -1]) + 5z2] = 0
-12z + -1z2 + [(9z2 + [-5z + 1z2]) + 5z2] = 0

Reorder the terms:
-12z + -1z2 + [(-5z + 9z2 + 1z2) + 5z2] = 0

Combine like terms: 9z2 + 1z2 = 10z2
-12z + -1z2 + [(-5z + 10z2) + 5z2] = 0

Remove parenthesis around (-5z + 10z2)
-12z + -1z2 + [-5z + 10z2 + 5z2] = 0

Combine like terms: 10z2 + 5z2 = 15z2
-12z + -1z2 + [-5z + 15z2] = 0

Remove brackets around [-5z + 15z2]
-12z + -1z2 + -5z + 15z2 = 0

Reorder the terms:
-12z + -5z + -1z2 + 15z2 = 0

Combine like terms: -12z + -5z = -17z
-17z + -1z2 + 15z2 = 0

Combine like terms: -1z2 + 15z2 = 14z2
-17z + 14z2 = 0

Solving
-17z + 14z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-17 + 14z) = 0


Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0

Subproblem 2
Set the factor '(-17 + 14z)' equal to zero and attempt to solve:

Simplifying
-17 + 14z = 0

Solving
-17 + 14z = 0

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

Add '17' to each side of the equation.
-17 + 17 + 14z = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 14z = 0 + 17
14z = 0 + 17

Combine like terms: 0 + 17 = 17
14z = 17

Divide each side by '14'.
z = 1.214285714

Simplifying
z = 1.214285714
Solution
z = {0, 1.214285714}

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