-[3z^2+5z-(2z^2-9z)]+[(7z^2-[5z-z^2])+5z^2]=

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Solution for -[3z^2+5z-(2z^2-9z)]+[(7z^2-[5z-z^2])+5z^2]= equation: 


Simplifying
-1[3z2 + 5z + -1(2z2 + -9z)] + [(7z2 + -1[5z + -1z2]) + 5z2] = 0

Reorder the terms:
-1[3z2 + 5z + -1(-9z + 2z2)] + [(7z2 + -1[5z + -1z2]) + 5z2] = 0
-1[3z2 + 5z + (-9z * -1 + 2z2 * -1)] + [(7z2 + -1[5z + -1z2]) + 5z2] = 0
-1[3z2 + 5z + (9z + -2z2)] + [(7z2 + -1[5z + -1z2]) + 5z2] = 0

Reorder the terms:
-1[5z + 9z + 3z2 + -2z2] + [(7z2 + -1[5z + -1z2]) + 5z2] = 0

Combine like terms: 5z + 9z = 14z
-1[14z + 3z2 + -2z2] + [(7z2 + -1[5z + -1z2]) + 5z2] = 0

Combine like terms: 3z2 + -2z2 = 1z2
-1[14z + 1z2] + [(7z2 + -1[5z + -1z2]) + 5z2] = 0
[14z * -1 + 1z2 * -1] + [(7z2 + -1[5z + -1z2]) + 5z2] = 0
[-14z + -1z2] + [(7z2 + -1[5z + -1z2]) + 5z2] = 0
-14z + -1z2 + [(7z2 + [5z * -1 + -1z2 * -1]) + 5z2] = 0
-14z + -1z2 + [(7z2 + [-5z + 1z2]) + 5z2] = 0

Reorder the terms:
-14z + -1z2 + [(-5z + 7z2 + 1z2) + 5z2] = 0

Combine like terms: 7z2 + 1z2 = 8z2
-14z + -1z2 + [(-5z + 8z2) + 5z2] = 0

Remove parenthesis around (-5z + 8z2)
-14z + -1z2 + [-5z + 8z2 + 5z2] = 0

Combine like terms: 8z2 + 5z2 = 13z2
-14z + -1z2 + [-5z + 13z2] = 0

Remove brackets around [-5z + 13z2]
-14z + -1z2 + -5z + 13z2 = 0

Reorder the terms:
-14z + -5z + -1z2 + 13z2 = 0

Combine like terms: -14z + -5z = -19z
-19z + -1z2 + 13z2 = 0

Combine like terms: -1z2 + 13z2 = 12z2
-19z + 12z2 = 0

Solving
-19z + 12z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-19 + 12z) = 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 '(-19 + 12z)' equal to zero and attempt to solve:

Simplifying
-19 + 12z = 0

Solving
-19 + 12z = 0

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

Add '19' to each side of the equation.
-19 + 19 + 12z = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 12z = 0 + 19
12z = 0 + 19

Combine like terms: 0 + 19 = 19
12z = 19

Divide each side by '12'.
z = 1.583333333

Simplifying
z = 1.583333333
Solution
z = {0, 1.583333333}

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