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Simplifying
9z2 + -24 + 16 = 0
Reorder the terms:
-24 + 16 + 9z2 = 0
Combine like terms: -24 + 16 = -8
-8 + 9z2 = 0
Solving
-8 + 9z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 9z2 = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 9z2 = 0 + 8
9z2 = 0 + 8
Combine like terms: 0 + 8 = 8
9z2 = 8
Divide each side by '9'.
z2 = 0.8888888889
Simplifying
z2 = 0.8888888889
Take the square root of each side:
z = {-0.942809042, 0.942809042}
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