12z^2+7z^2+20=180

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Solution for 12z^2+7z^2+20=180 equation: 


Simplifying
12z2 + 7z2 + 20 = 180

Reorder the terms:
20 + 12z2 + 7z2 = 180

Combine like terms: 12z2 + 7z2 = 19z2
20 + 19z2 = 180

Solving
20 + 19z2 = 180

Solving for variable 'z'.

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

Add '-20' to each side of the equation.
20 + -20 + 19z2 = 180 + -20

Combine like terms: 20 + -20 = 0
0 + 19z2 = 180 + -20
19z2 = 180 + -20

Combine like terms: 180 + -20 = 160
19z2 = 160

Divide each side by '19'.
z2 = 8.421052632

Simplifying
z2 = 8.421052632

Take the square root of each side:
z = {-2.901905001, 2.901905001}

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