-[3z^2+4z-(2z^2-7z)]+[(6z^2-[5z-z^2])+3z^2]=

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Solution for -[3z^2+4z-(2z^2-7z)]+[(6z^2-[5z-z^2])+3z^2]= equation: 


Simplifying
-1[3z2 + 4z + -1(2z2 + -7z)] + [(6z2 + -1[5z + -1z2]) + 3z2] = 0

Reorder the terms:
-1[3z2 + 4z + -1(-7z + 2z2)] + [(6z2 + -1[5z + -1z2]) + 3z2] = 0
-1[3z2 + 4z + (-7z * -1 + 2z2 * -1)] + [(6z2 + -1[5z + -1z2]) + 3z2] = 0
-1[3z2 + 4z + (7z + -2z2)] + [(6z2 + -1[5z + -1z2]) + 3z2] = 0

Reorder the terms:
-1[4z + 7z + 3z2 + -2z2] + [(6z2 + -1[5z + -1z2]) + 3z2] = 0

Combine like terms: 4z + 7z = 11z
-1[11z + 3z2 + -2z2] + [(6z2 + -1[5z + -1z2]) + 3z2] = 0

Combine like terms: 3z2 + -2z2 = 1z2
-1[11z + 1z2] + [(6z2 + -1[5z + -1z2]) + 3z2] = 0
[11z * -1 + 1z2 * -1] + [(6z2 + -1[5z + -1z2]) + 3z2] = 0
[-11z + -1z2] + [(6z2 + -1[5z + -1z2]) + 3z2] = 0
-11z + -1z2 + [(6z2 + [5z * -1 + -1z2 * -1]) + 3z2] = 0
-11z + -1z2 + [(6z2 + [-5z + 1z2]) + 3z2] = 0

Reorder the terms:
-11z + -1z2 + [(-5z + 6z2 + 1z2) + 3z2] = 0

Combine like terms: 6z2 + 1z2 = 7z2
-11z + -1z2 + [(-5z + 7z2) + 3z2] = 0

Remove parenthesis around (-5z + 7z2)
-11z + -1z2 + [-5z + 7z2 + 3z2] = 0

Combine like terms: 7z2 + 3z2 = 10z2
-11z + -1z2 + [-5z + 10z2] = 0

Remove brackets around [-5z + 10z2]
-11z + -1z2 + -5z + 10z2 = 0

Reorder the terms:
-11z + -5z + -1z2 + 10z2 = 0

Combine like terms: -11z + -5z = -16z
-16z + -1z2 + 10z2 = 0

Combine like terms: -1z2 + 10z2 = 9z2
-16z + 9z2 = 0

Solving
-16z + 9z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-16 + 9z) = 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 '(-16 + 9z)' equal to zero and attempt to solve:

Simplifying
-16 + 9z = 0

Solving
-16 + 9z = 0

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

Add '16' to each side of the equation.
-16 + 16 + 9z = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9z = 0 + 16
9z = 0 + 16

Combine like terms: 0 + 16 = 16
9z = 16

Divide each side by '9'.
z = 1.777777778

Simplifying
z = 1.777777778
Solution
z = {0, 1.777777778}

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