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Simplifying
16z2 + -16 + -29 = -28
Reorder the terms:
-16 + -29 + 16z2 = -28
Combine like terms: -16 + -29 = -45
-45 + 16z2 = -28
Solving
-45 + 16z2 = -28
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '45' to each side of the equation.
-45 + 45 + 16z2 = -28 + 45
Combine like terms: -45 + 45 = 0
0 + 16z2 = -28 + 45
16z2 = -28 + 45
Combine like terms: -28 + 45 = 17
16z2 = 17
Divide each side by '16'.
z2 = 1.0625
Simplifying
z2 = 1.0625
Take the square root of each side:
z = {-1.030776406, 1.030776406}
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