(x)=3x^2+10

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Solution for (x)=3x^2+10 equation: 


Simplifying
(x) = 3x2 + 10
x = 3x2 + 10

Reorder the terms:
x = 10 + 3x2

Solving
x = 10 + 3x2

Solving for variable 'x'.

Reorder the terms:
-10 + x + -3x2 = 10 + 3x2 + -10 + -3x2

Reorder the terms:
-10 + x + -3x2 = 10 + -10 + 3x2 + -3x2

Combine like terms: 10 + -10 = 0
-10 + x + -3x2 = 0 + 3x2 + -3x2
-10 + x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-10 + x + -3x2 = 0

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

Divide each side by '-3'.
3.333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -0.3333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -0.3333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -3.333333333
-0.3333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-0.3333333333x + x2 = -3.333333333

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 = -3.333333333 + 0.25

Reorder the terms:
0.25 + -0.3333333333x + x2 = -3.333333333 + 0.25

Combine like terms: -3.333333333 + 0.25 = -3.083333333
0.25 + -0.3333333333x + x2 = -3.083333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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