-21=15-2z^2

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Solution for -21=15-2z^2 equation: 


Simplifying
-21 = 15 + -2z2

Solving
-21 = 15 + -2z2

Solving for variable 'z'.

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

Add '2z2' to each side of the equation.
-21 + 2z2 = 15 + -2z2 + 2z2

Combine like terms: -2z2 + 2z2 = 0
-21 + 2z2 = 15 + 0
-21 + 2z2 = 15

Add '21' to each side of the equation.
-21 + 21 + 2z2 = 15 + 21

Combine like terms: -21 + 21 = 0
0 + 2z2 = 15 + 21
2z2 = 15 + 21

Combine like terms: 15 + 21 = 36
2z2 = 36

Divide each side by '2'.
z2 = 18

Simplifying
z2 = 18

Take the square root of each side:
z = {-4.242640687, 4.242640687}

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