(Z^2-7)+4z^2-7=12

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Solution for (Z^2-7)+4z^2-7=12 equation:


Simplifying
(Z2 + -7) + 4z2 + -7 = 12

Reorder the terms:
(-7 + Z2) + 4z2 + -7 = 12

Remove parenthesis around (-7 + Z2)
-7 + Z2 + 4z2 + -7 = 12

Reorder the terms:
-7 + -7 + Z2 + 4z2 = 12

Combine like terms: -7 + -7 = -14
-14 + Z2 + 4z2 = 12

Solving
-14 + Z2 + 4z2 = 12

Solving for variable 'Z'.

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

Add '14' to each side of the equation.
-14 + Z2 + 14 + 4z2 = 12 + 14

Reorder the terms:
-14 + 14 + Z2 + 4z2 = 12 + 14

Combine like terms: -14 + 14 = 0
0 + Z2 + 4z2 = 12 + 14
Z2 + 4z2 = 12 + 14

Combine like terms: 12 + 14 = 26
Z2 + 4z2 = 26

Add '-4z2' to each side of the equation.
Z2 + 4z2 + -4z2 = 26 + -4z2

Combine like terms: 4z2 + -4z2 = 0
Z2 + 0 = 26 + -4z2
Z2 = 26 + -4z2

Simplifying
Z2 = 26 + -4z2

Reorder the terms:
-26 + Z2 + 4z2 = 26 + -4z2 + -26 + 4z2

Reorder the terms:
-26 + Z2 + 4z2 = 26 + -26 + -4z2 + 4z2

Combine like terms: 26 + -26 = 0
-26 + Z2 + 4z2 = 0 + -4z2 + 4z2
-26 + Z2 + 4z2 = -4z2 + 4z2

Combine like terms: -4z2 + 4z2 = 0
-26 + Z2 + 4z2 = 0

The solution to this equation could not be determined.

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