2n^2+7=159

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Solution for 2n^2+7=159 equation:


Simplifying
2n2 + 7 = 159

Reorder the terms:
7 + 2n2 = 159

Solving
7 + 2n2 = 159

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 + 2n2 = 159 + -7

Combine like terms: 7 + -7 = 0
0 + 2n2 = 159 + -7
2n2 = 159 + -7

Combine like terms: 159 + -7 = 152
2n2 = 152

Divide each side by '2'.
n2 = 76

Simplifying
n2 = 76

Take the square root of each side:
n = {-8.717797887, 8.717797887}

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