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Simplifying
4z2 + -94 = 6
Reorder the terms:
-94 + 4z2 = 6
Solving
-94 + 4z2 = 6
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '94' to each side of the equation.
-94 + 94 + 4z2 = 6 + 94
Combine like terms: -94 + 94 = 0
0 + 4z2 = 6 + 94
4z2 = 6 + 94
Combine like terms: 6 + 94 = 100
4z2 = 100
Divide each side by '4'.
z2 = 25
Simplifying
z2 = 25
Take the square root of each side:
z = {-5, 5}
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