(Z^2+5)(2z^2-6z+5)=0

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Solution for (Z^2+5)(2z^2-6z+5)=0 equation:


Simplifying
(Z2 + 5)(2z2 + -6z + 5) = 0

Reorder the terms:
(5 + Z2)(2z2 + -6z + 5) = 0

Reorder the terms:
(5 + Z2)(5 + -6z + 2z2) = 0

Multiply (5 + Z2) * (5 + -6z + 2z2)
(5(5 + -6z + 2z2) + Z2(5 + -6z + 2z2)) = 0
((5 * 5 + -6z * 5 + 2z2 * 5) + Z2(5 + -6z + 2z2)) = 0
((25 + -30z + 10z2) + Z2(5 + -6z + 2z2)) = 0
(25 + -30z + 10z2 + (5 * Z2 + -6z * Z2 + 2z2 * Z2)) = 0
(25 + -30z + 10z2 + (5Z2 + -6zZ2 + 2z2Z2)) = 0

Reorder the terms:
(25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2) = 0
(25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2) = 0

Solving
25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0

Solving for variable 'Z'.

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

Add '-25' to each side of the equation.
25 + 5Z2 + -30z + -6zZ2 + 10z2 + -25 + 2z2Z2 = 0 + -25

Reorder the terms:
25 + -25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 + -25
5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 + -25

Combine like terms: 0 + -25 = -25
5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = -25

Add '30z' to each side of the equation.
5Z2 + -30z + -6zZ2 + 10z2 + 30z + 2z2Z2 = -25 + 30z

Reorder the terms:
5Z2 + -30z + 30z + -6zZ2 + 10z2 + 2z2Z2 = -25 + 30z

Combine like terms: -30z + 30z = 0
5Z2 + 0 + -6zZ2 + 10z2 + 2z2Z2 = -25 + 30z
5Z2 + -6zZ2 + 10z2 + 2z2Z2 = -25 + 30z

Add '-10z2' to each side of the equation.
5Z2 + -6zZ2 + 10z2 + -10z2 + 2z2Z2 = -25 + 30z + -10z2

Combine like terms: 10z2 + -10z2 = 0
5Z2 + -6zZ2 + 0 + 2z2Z2 = -25 + 30z + -10z2
5Z2 + -6zZ2 + 2z2Z2 = -25 + 30z + -10z2

Reorder the terms:
25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = -25 + 30z + -10z2 + 25 + -30z + 10z2

Reorder the terms:
25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = -25 + 25 + 30z + -30z + -10z2 + 10z2

Combine like terms: -25 + 25 = 0
25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 + 30z + -30z + -10z2 + 10z2
25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 30z + -30z + -10z2 + 10z2

Combine like terms: 30z + -30z = 0
25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0 + -10z2 + 10z2
25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = -10z2 + 10z2

Combine like terms: -10z2 + 10z2 = 0
25 + 5Z2 + -30z + -6zZ2 + 10z2 + 2z2Z2 = 0

The solution to this equation could not be determined.

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