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

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


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

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

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

Combine like terms: 5z + 7z = 12z
-1[12z + -2z2] + [(6z + -1[5z + -1z2]) + 5z2] = 0
[12z * -1 + -2z2 * -1] + [(6z + -1[5z + -1z2]) + 5z2] = 0
[-12z + 2z2] + [(6z + -1[5z + -1z2]) + 5z2] = 0
-12z + 2z2 + [(6z + [5z * -1 + -1z2 * -1]) + 5z2] = 0
-12z + 2z2 + [(6z + [-5z + 1z2]) + 5z2] = 0

Combine like terms: 6z + -5z = 1z
-12z + 2z2 + [(1z + 1z2) + 5z2] = 0

Remove parenthesis around (1z + 1z2)
-12z + 2z2 + [1z + 1z2 + 5z2] = 0

Combine like terms: 1z2 + 5z2 = 6z2
-12z + 2z2 + [1z + 6z2] = 0

Remove brackets around [1z + 6z2]
-12z + 2z2 + 1z + 6z2 = 0

Reorder the terms:
-12z + 1z + 2z2 + 6z2 = 0

Combine like terms: -12z + 1z = -11z
-11z + 2z2 + 6z2 = 0

Combine like terms: 2z2 + 6z2 = 8z2
-11z + 8z2 = 0

Solving
-11z + 8z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-11 + 8z) = 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 '(-11 + 8z)' equal to zero and attempt to solve:

Simplifying
-11 + 8z = 0

Solving
-11 + 8z = 0

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

Add '11' to each side of the equation.
-11 + 11 + 8z = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 8z = 0 + 11
8z = 0 + 11

Combine like terms: 0 + 11 = 11
8z = 11

Divide each side by '8'.
z = 1.375

Simplifying
z = 1.375
Solution
z = {0, 1.375}

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