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Simplifying
6n2 + -10 = 590
Reorder the terms:
-10 + 6n2 = 590
Solving
-10 + 6n2 = 590
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 6n2 = 590 + 10
Combine like terms: -10 + 10 = 0
0 + 6n2 = 590 + 10
6n2 = 590 + 10
Combine like terms: 590 + 10 = 600
6n2 = 600
Divide each side by '6'.
n2 = 100
Simplifying
n2 = 100
Take the square root of each side:
n = {-10, 10}
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