-[3z^2+2z-(2z^2-6z)]+[(6z^2-[5z-z^2])+4z^2]=

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Solution for -[3z^2+2z-(2z^2-6z)]+[(6z^2-[5z-z^2])+4z^2]= equation: 


Simplifying
-1[3z2 + 2z + -1(2z2 + -6z)] + [(6z2 + -1[5z + -1z2]) + 4z2] = 0

Reorder the terms:
-1[3z2 + 2z + -1(-6z + 2z2)] + [(6z2 + -1[5z + -1z2]) + 4z2] = 0
-1[3z2 + 2z + (-6z * -1 + 2z2 * -1)] + [(6z2 + -1[5z + -1z2]) + 4z2] = 0
-1[3z2 + 2z + (6z + -2z2)] + [(6z2 + -1[5z + -1z2]) + 4z2] = 0

Reorder the terms:
-1[2z + 6z + 3z2 + -2z2] + [(6z2 + -1[5z + -1z2]) + 4z2] = 0

Combine like terms: 2z + 6z = 8z
-1[8z + 3z2 + -2z2] + [(6z2 + -1[5z + -1z2]) + 4z2] = 0

Combine like terms: 3z2 + -2z2 = 1z2
-1[8z + 1z2] + [(6z2 + -1[5z + -1z2]) + 4z2] = 0
[8z * -1 + 1z2 * -1] + [(6z2 + -1[5z + -1z2]) + 4z2] = 0
[-8z + -1z2] + [(6z2 + -1[5z + -1z2]) + 4z2] = 0
-8z + -1z2 + [(6z2 + [5z * -1 + -1z2 * -1]) + 4z2] = 0
-8z + -1z2 + [(6z2 + [-5z + 1z2]) + 4z2] = 0

Reorder the terms:
-8z + -1z2 + [(-5z + 6z2 + 1z2) + 4z2] = 0

Combine like terms: 6z2 + 1z2 = 7z2
-8z + -1z2 + [(-5z + 7z2) + 4z2] = 0

Remove parenthesis around (-5z + 7z2)
-8z + -1z2 + [-5z + 7z2 + 4z2] = 0

Combine like terms: 7z2 + 4z2 = 11z2
-8z + -1z2 + [-5z + 11z2] = 0

Remove brackets around [-5z + 11z2]
-8z + -1z2 + -5z + 11z2 = 0

Reorder the terms:
-8z + -5z + -1z2 + 11z2 = 0

Combine like terms: -8z + -5z = -13z
-13z + -1z2 + 11z2 = 0

Combine like terms: -1z2 + 11z2 = 10z2
-13z + 10z2 = 0

Solving
-13z + 10z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-13 + 10z) = 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 '(-13 + 10z)' equal to zero and attempt to solve:

Simplifying
-13 + 10z = 0

Solving
-13 + 10z = 0

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

Add '13' to each side of the equation.
-13 + 13 + 10z = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 10z = 0 + 13
10z = 0 + 13

Combine like terms: 0 + 13 = 13
10z = 13

Divide each side by '10'.
z = 1.3

Simplifying
z = 1.3
Solution
z = {0, 1.3}

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