16z*z-20=5-20z*z

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Solution for 16z*z-20=5-20z*z equation: 


Simplifying
16z * z + -20 = 5 + -20z * z

Multiply z * z
16z2 + -20 = 5 + -20z * z

Reorder the terms:
-20 + 16z2 = 5 + -20z * z

Multiply z * z
-20 + 16z2 = 5 + -20z2

Solving
-20 + 16z2 = 5 + -20z2

Solving for variable 'z'.

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

Add '20z2' to each side of the equation.
-20 + 16z2 + 20z2 = 5 + -20z2 + 20z2

Combine like terms: 16z2 + 20z2 = 36z2
-20 + 36z2 = 5 + -20z2 + 20z2

Combine like terms: -20z2 + 20z2 = 0
-20 + 36z2 = 5 + 0
-20 + 36z2 = 5

Add '20' to each side of the equation.
-20 + 20 + 36z2 = 5 + 20

Combine like terms: -20 + 20 = 0
0 + 36z2 = 5 + 20
36z2 = 5 + 20

Combine like terms: 5 + 20 = 25
36z2 = 25

Divide each side by '36'.
z2 = 0.6944444444

Simplifying
z2 = 0.6944444444

Take the square root of each side:
z = {-0.833333333, 0.833333333}

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