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Simplifying
28z2 + -11 + 2 = 0
Reorder the terms:
-11 + 2 + 28z2 = 0
Combine like terms: -11 + 2 = -9
-9 + 28z2 = 0
Solving
-9 + 28z2 = 0
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 28z2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 28z2 = 0 + 9
28z2 = 0 + 9
Combine like terms: 0 + 9 = 9
28z2 = 9
Divide each side by '28'.
z2 = 0.3214285714
Simplifying
z2 = 0.3214285714
Take the square root of each side:
z = {-0.566946709, 0.566946709}
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