12z^2=7z^2+20

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Solution for 12z^2=7z^2+20 equation: 


Simplifying
12z2 = 7z2 + 20

Reorder the terms:
12z2 = 20 + 7z2

Solving
12z2 = 20 + 7z2

Solving for variable 'z'.

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

Add '-7z2' to each side of the equation.
12z2 + -7z2 = 20 + 7z2 + -7z2

Combine like terms: 12z2 + -7z2 = 5z2
5z2 = 20 + 7z2 + -7z2

Combine like terms: 7z2 + -7z2 = 0
5z2 = 20 + 0
5z2 = 20

Divide each side by '5'.
z2 = 4

Simplifying
z2 = 4

Take the square root of each side:
z = {-2, 2}

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