3x^2+2=x^2+18

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Solution for 3x^2+2=x^2+18 equation: 


Simplifying
3x2 + 2 = x2 + 18

Reorder the terms:
2 + 3x2 = x2 + 18

Reorder the terms:
2 + 3x2 = 18 + x2

Solving
2 + 3x2 = 18 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
2 + 3x2 + -1x2 = 18 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
2 + 2x2 = 18 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + 2x2 = 18 + 0
2 + 2x2 = 18

Add '-2' to each side of the equation.
2 + -2 + 2x2 = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 2x2 = 18 + -2
2x2 = 18 + -2

Combine like terms: 18 + -2 = 16
2x2 = 16

Divide each side by '2'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}

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