x^2+2=3x^2-16

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Solution for x^2+2=3x^2-16 equation: 


Simplifying
x2 + 2 = 3x2 + -16

Reorder the terms:
2 + x2 = 3x2 + -16

Reorder the terms:
2 + x2 = -16 + 3x2

Solving
2 + x2 = -16 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
2 + x2 + -3x2 = -16 + 3x2 + -3x2

Combine like terms: x2 + -3x2 = -2x2
2 + -2x2 = -16 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
2 + -2x2 = -16 + 0
2 + -2x2 = -16

Add '-2' to each side of the equation.
2 + -2 + -2x2 = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -2x2 = -16 + -2
-2x2 = -16 + -2

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

Divide each side by '-2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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