3x^2+2=11-x^2

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Solution for 3x^2+2=11-x^2 equation: 


Simplifying
3x2 + 2 = 11 + -1x2

Reorder the terms:
2 + 3x2 = 11 + -1x2

Solving
2 + 3x2 = 11 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
2 + 3x2 + x2 = 11 + -1x2 + x2

Combine like terms: 3x2 + x2 = 4x2
2 + 4x2 = 11 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + 4x2 = 11 + 0
2 + 4x2 = 11

Add '-2' to each side of the equation.
2 + -2 + 4x2 = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 4x2 = 11 + -2
4x2 = 11 + -2

Combine like terms: 11 + -2 = 9
4x2 = 9

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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