5y^2-3z^2=8

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Solution for 5y^2-3z^2=8 equation:


Simplifying
5y2 + -3z2 = 8

Solving
5y2 + -3z2 = 8

Solving for variable 'y'.

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

Add '3z2' to each side of the equation.
5y2 + -3z2 + 3z2 = 8 + 3z2

Combine like terms: -3z2 + 3z2 = 0
5y2 + 0 = 8 + 3z2
5y2 = 8 + 3z2

Divide each side by '5'.
y2 = 1.6 + 0.6z2

Simplifying
y2 = 1.6 + 0.6z2

Reorder the terms:
-1.6 + y2 + -0.6z2 = 1.6 + 0.6z2 + -1.6 + -0.6z2

Reorder the terms:
-1.6 + y2 + -0.6z2 = 1.6 + -1.6 + 0.6z2 + -0.6z2

Combine like terms: 1.6 + -1.6 = 0.0
-1.6 + y2 + -0.6z2 = 0.0 + 0.6z2 + -0.6z2
-1.6 + y2 + -0.6z2 = 0.6z2 + -0.6z2

Combine like terms: 0.6z2 + -0.6z2 = 0.0
-1.6 + y2 + -0.6z2 = 0.0

The solution to this equation could not be determined.

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