5n^2+4=2n^2+10

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Solution for 5n^2+4=2n^2+10 equation:


Simplifying
5n2 + 4 = 2n2 + 10

Reorder the terms:
4 + 5n2 = 2n2 + 10

Reorder the terms:
4 + 5n2 = 10 + 2n2

Solving
4 + 5n2 = 10 + 2n2

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n2' to each side of the equation.
4 + 5n2 + -2n2 = 10 + 2n2 + -2n2

Combine like terms: 5n2 + -2n2 = 3n2
4 + 3n2 = 10 + 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
4 + 3n2 = 10 + 0
4 + 3n2 = 10

Add '-4' to each side of the equation.
4 + -4 + 3n2 = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 3n2 = 10 + -4
3n2 = 10 + -4

Combine like terms: 10 + -4 = 6
3n2 = 6

Divide each side by '3'.
n2 = 2

Simplifying
n2 = 2

Take the square root of each side:
n = {-1.414213562, 1.414213562}

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