3x^2-18=9-x^2

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Solution for 3x^2-18=9-x^2 equation:


Simplifying
3x2 + -18 = 9 + -1x2

Reorder the terms:
-18 + 3x2 = 9 + -1x2

Solving
-18 + 3x2 = 9 + -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.
-18 + 3x2 + x2 = 9 + -1x2 + x2

Combine like terms: 3x2 + x2 = 4x2
-18 + 4x2 = 9 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-18 + 4x2 = 9 + 0
-18 + 4x2 = 9

Add '18' to each side of the equation.
-18 + 18 + 4x2 = 9 + 18

Combine like terms: -18 + 18 = 0
0 + 4x2 = 9 + 18
4x2 = 9 + 18

Combine like terms: 9 + 18 = 27
4x2 = 27

Divide each side by '4'.
x2 = 6.75

Simplifying
x2 = 6.75

Take the square root of each side:
x = {-2.598076211, 2.598076211}

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