-[3z^2+4z-(2x^2-9z)]+[(10z^2-[5z-z^2])+2z^2]=

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Solution for -[3z^2+4z-(2x^2-9z)]+[(10z^2-[5z-z^2])+2z^2]= equation: 


Simplifying
-1[3z2 + 4z + -1(2x2 + -9z)] + [(10z2 + -1[5z + -1z2]) + 2z2] = 0
-1[3z2 + 4z + (2x2 * -1 + -9z * -1)] + [(10z2 + -1[5z + -1z2]) + 2z2] = 0
-1[3z2 + 4z + (-2x2 + 9z)] + [(10z2 + -1[5z + -1z2]) + 2z2] = 0

Reorder the terms:
-1[-2x2 + 4z + 9z + 3z2] + [(10z2 + -1[5z + -1z2]) + 2z2] = 0

Combine like terms: 4z + 9z = 13z
-1[-2x2 + 13z + 3z2] + [(10z2 + -1[5z + -1z2]) + 2z2] = 0
[-2x2 * -1 + 13z * -1 + 3z2 * -1] + [(10z2 + -1[5z + -1z2]) + 2z2] = 0
[2x2 + -13z + -3z2] + [(10z2 + -1[5z + -1z2]) + 2z2] = 0
2x2 + -13z + -3z2 + [(10z2 + [5z * -1 + -1z2 * -1]) + 2z2] = 0
2x2 + -13z + -3z2 + [(10z2 + [-5z + 1z2]) + 2z2] = 0

Reorder the terms:
2x2 + -13z + -3z2 + [(-5z + 10z2 + 1z2) + 2z2] = 0

Combine like terms: 10z2 + 1z2 = 11z2
2x2 + -13z + -3z2 + [(-5z + 11z2) + 2z2] = 0

Remove parenthesis around (-5z + 11z2)
2x2 + -13z + -3z2 + [-5z + 11z2 + 2z2] = 0

Combine like terms: 11z2 + 2z2 = 13z2
2x2 + -13z + -3z2 + [-5z + 13z2] = 0

Remove brackets around [-5z + 13z2]
2x2 + -13z + -3z2 + -5z + 13z2 = 0

Reorder the terms:
2x2 + -13z + -5z + -3z2 + 13z2 = 0

Combine like terms: -13z + -5z = -18z
2x2 + -18z + -3z2 + 13z2 = 0

Combine like terms: -3z2 + 13z2 = 10z2
2x2 + -18z + 10z2 = 0

Solving
2x2 + -18z + 10z2 = 0

Solving for variable 'x'.

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

Add '18z' to each side of the equation.
2x2 + -18z + 18z + 10z2 = 0 + 18z

Combine like terms: -18z + 18z = 0
2x2 + 0 + 10z2 = 0 + 18z
2x2 + 10z2 = 0 + 18z
Remove the zero:
2x2 + 10z2 = 18z

Add '-10z2' to each side of the equation.
2x2 + 10z2 + -10z2 = 18z + -10z2

Combine like terms: 10z2 + -10z2 = 0
2x2 + 0 = 18z + -10z2
2x2 = 18z + -10z2

Divide each side by '2'.
x2 = 9z + -5z2

Simplifying
x2 = 9z + -5z2

Reorder the terms:
x2 + -9z + 5z2 = 9z + -9z + -5z2 + 5z2

Combine like terms: 9z + -9z = 0
x2 + -9z + 5z2 = 0 + -5z2 + 5z2
x2 + -9z + 5z2 = -5z2 + 5z2

Combine like terms: -5z2 + 5z2 = 0
x2 + -9z + 5z2 = 0

The solution to this equation could not be determined.

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