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Simplifying
3n * -7n + 2 = 0
Reorder the terms for easier multiplication:
3 * -7n * n + 2 = 0
Multiply 3 * -7
-21n * n + 2 = 0
Multiply n * n
-21n2 + 2 = 0
Reorder the terms:
2 + -21n2 = 0
Solving
2 + -21n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -21n2 = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -21n2 = 0 + -2
-21n2 = 0 + -2
Combine like terms: 0 + -2 = -2
-21n2 = -2
Divide each side by '-21'.
n2 = 0.09523809524
Simplifying
n2 = 0.09523809524
Take the square root of each side:
n = {-0.3086067, 0.3086067}
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