z^2+20=5-2z^2

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Solution for z^2+20=5-2z^2 equation:


Simplifying
z2 + 20 = 5 + -2z2

Reorder the terms:
20 + z2 = 5 + -2z2

Solving
20 + z2 = 5 + -2z2

Solving for variable 'z'.

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

Add '2z2' to each side of the equation.
20 + z2 + 2z2 = 5 + -2z2 + 2z2

Combine like terms: z2 + 2z2 = 3z2
20 + 3z2 = 5 + -2z2 + 2z2

Combine like terms: -2z2 + 2z2 = 0
20 + 3z2 = 5 + 0
20 + 3z2 = 5

Add '-20' to each side of the equation.
20 + -20 + 3z2 = 5 + -20

Combine like terms: 20 + -20 = 0
0 + 3z2 = 5 + -20
3z2 = 5 + -20

Combine like terms: 5 + -20 = -15
3z2 = -15

Divide each side by '3'.
z2 = -5

Simplifying
z2 = -5

Reorder the terms:
5 + z2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + z2 = 0

The solution to this equation could not be determined.

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