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Simplifying
3z2 + 7 = 82
Reorder the terms:
7 + 3z2 = 82
Solving
7 + 3z2 = 82
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3z2 = 82 + -7
Combine like terms: 7 + -7 = 0
0 + 3z2 = 82 + -7
3z2 = 82 + -7
Combine like terms: 82 + -7 = 75
3z2 = 75
Divide each side by '3'.
z2 = 25
Simplifying
z2 = 25
Take the square root of each side:
z = {-5, 5}
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