0=230+12x+1.2x^2

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Solution for 0=230+12x+1.2x^2 equation:


Simplifying
0 = 230 + 12x + 1.2x2

Solving
0 = 230 + 12x + 1.2x2

Solving for variable 'x'.

Combine like terms: 0 + -230 = -230
-230 + -12x + -1.2x2 = 230 + 12x + 1.2x2 + -230 + -12x + -1.2x2

Reorder the terms:
-230 + -12x + -1.2x2 = 230 + -230 + 12x + -12x + 1.2x2 + -1.2x2

Combine like terms: 230 + -230 = 0
-230 + -12x + -1.2x2 = 0 + 12x + -12x + 1.2x2 + -1.2x2
-230 + -12x + -1.2x2 = 12x + -12x + 1.2x2 + -1.2x2

Combine like terms: 12x + -12x = 0
-230 + -12x + -1.2x2 = 0 + 1.2x2 + -1.2x2
-230 + -12x + -1.2x2 = 1.2x2 + -1.2x2

Combine like terms: 1.2x2 + -1.2x2 = 0.0
-230 + -12x + -1.2x2 = 0.0

Begin completing the square.  Divide all terms by
-1.2 the coefficient of the squared term: 

Divide each side by '-1.2'.
191.6666667 + 10x + x2 = 0

Move the constant term to the right:

Add '-191.6666667' to each side of the equation.
191.6666667 + 10x + -191.6666667 + x2 = 0 + -191.6666667

Reorder the terms:
191.6666667 + -191.6666667 + 10x + x2 = 0 + -191.6666667

Combine like terms: 191.6666667 + -191.6666667 = 0.0000000
0.0000000 + 10x + x2 = 0 + -191.6666667
10x + x2 = 0 + -191.6666667

Combine like terms: 0 + -191.6666667 = -191.6666667
10x + x2 = -191.6666667

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -191.6666667 + 25

Reorder the terms:
25 + 10x + x2 = -191.6666667 + 25

Combine like terms: -191.6666667 + 25 = -166.6666667
25 + 10x + x2 = -166.6666667

Factor a perfect square on the left side:
(x + 5)(x + 5) = -166.6666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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