-[3z^2+6x-(2z^2-9z)]+[(6z^2-[5z-z^2])+5z^2]=

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Solution for -[3z^2+6x-(2z^2-9z)]+[(6z^2-[5z-z^2])+5z^2]= equation: 


Simplifying
-1[3z2 + 6x + -1(2z2 + -9z)] + [(6z2 + -1[5z + -1z2]) + 5z2] = 0

Reorder the terms:
-1[3z2 + 6x + -1(-9z + 2z2)] + [(6z2 + -1[5z + -1z2]) + 5z2] = 0
-1[3z2 + 6x + (-9z * -1 + 2z2 * -1)] + [(6z2 + -1[5z + -1z2]) + 5z2] = 0
-1[3z2 + 6x + (9z + -2z2)] + [(6z2 + -1[5z + -1z2]) + 5z2] = 0

Reorder the terms:
-1[6x + 9z + 3z2 + -2z2] + [(6z2 + -1[5z + -1z2]) + 5z2] = 0

Combine like terms: 3z2 + -2z2 = 1z2
-1[6x + 9z + 1z2] + [(6z2 + -1[5z + -1z2]) + 5z2] = 0
[6x * -1 + 9z * -1 + 1z2 * -1] + [(6z2 + -1[5z + -1z2]) + 5z2] = 0
[-6x + -9z + -1z2] + [(6z2 + -1[5z + -1z2]) + 5z2] = 0
-6x + -9z + -1z2 + [(6z2 + [5z * -1 + -1z2 * -1]) + 5z2] = 0
-6x + -9z + -1z2 + [(6z2 + [-5z + 1z2]) + 5z2] = 0

Reorder the terms:
-6x + -9z + -1z2 + [(-5z + 6z2 + 1z2) + 5z2] = 0

Combine like terms: 6z2 + 1z2 = 7z2
-6x + -9z + -1z2 + [(-5z + 7z2) + 5z2] = 0

Remove parenthesis around (-5z + 7z2)
-6x + -9z + -1z2 + [-5z + 7z2 + 5z2] = 0

Combine like terms: 7z2 + 5z2 = 12z2
-6x + -9z + -1z2 + [-5z + 12z2] = 0

Remove brackets around [-5z + 12z2]
-6x + -9z + -1z2 + -5z + 12z2 = 0

Reorder the terms:
-6x + -9z + -5z + -1z2 + 12z2 = 0

Combine like terms: -9z + -5z = -14z
-6x + -14z + -1z2 + 12z2 = 0

Combine like terms: -1z2 + 12z2 = 11z2
-6x + -14z + 11z2 = 0

Solving
-6x + -14z + 11z2 = 0

Solving for variable 'x'.

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

Add '14z' to each side of the equation.
-6x + -14z + 14z + 11z2 = 0 + 14z

Combine like terms: -14z + 14z = 0
-6x + 0 + 11z2 = 0 + 14z
-6x + 11z2 = 0 + 14z
Remove the zero:
-6x + 11z2 = 14z

Add '-11z2' to each side of the equation.
-6x + 11z2 + -11z2 = 14z + -11z2

Combine like terms: 11z2 + -11z2 = 0
-6x + 0 = 14z + -11z2
-6x = 14z + -11z2

Divide each side by '-6'.
x = -2.333333333z + 1.833333333z2

Simplifying
x = -2.333333333z + 1.833333333z2

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