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Simplifying
6z2 + 5 = 491
Reorder the terms:
5 + 6z2 = 491
Solving
5 + 6z2 = 491
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 6z2 = 491 + -5
Combine like terms: 5 + -5 = 0
0 + 6z2 = 491 + -5
6z2 = 491 + -5
Combine like terms: 491 + -5 = 486
6z2 = 486
Divide each side by '6'.
z2 = 81
Simplifying
z2 = 81
Take the square root of each side:
z = {-9, 9}
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