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Simplifying
1.5n2 + 7 = 20
Reorder the terms:
7 + 1.5n2 = 20
Solving
7 + 1.5n2 = 20
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 1.5n2 = 20 + -7
Combine like terms: 7 + -7 = 0
0 + 1.5n2 = 20 + -7
1.5n2 = 20 + -7
Combine like terms: 20 + -7 = 13
1.5n2 = 13
Divide each side by '1.5'.
n2 = 8.666666667
Simplifying
n2 = 8.666666667
Take the square root of each side:
n = {-2.943920289, 2.943920289}
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