(x)=3x^2+9

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Solution for (x)=3x^2+9 equation:


Simplifying
(x) = 3x2 + 9
x = 3x2 + 9

Reorder the terms:
x = 9 + 3x2

Solving
x = 9 + 3x2

Solving for variable 'x'.

Reorder the terms:
-9 + x + -3x2 = 9 + 3x2 + -9 + -3x2

Reorder the terms:
-9 + x + -3x2 = 9 + -9 + 3x2 + -3x2

Combine like terms: 9 + -9 = 0
-9 + x + -3x2 = 0 + 3x2 + -3x2
-9 + x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-9 + x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
3 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -0.3333333333x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -0.3333333333x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -0.3333333333x + x2 = 0 + -3
-0.3333333333x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-0.3333333333x + x2 = -3

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.3333333333x + 0.25 + x2 = -3 + 0.25

Reorder the terms:
0.25 + -0.3333333333x + x2 = -3 + 0.25

Combine like terms: -3 + 0.25 = -2.75
0.25 + -0.3333333333x + x2 = -2.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -2.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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