0=.6x^2-12x+150

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Solution for 0=.6x^2-12x+150 equation:


Simplifying
0 = 0.6x2 + -12x + 150

Reorder the terms:
0 = 150 + -12x + 0.6x2

Solving
0 = 150 + -12x + 0.6x2

Solving for variable 'x'.

Combine like terms: 0 + -150 = -150
-150 + 12x + -0.6x2 = 150 + -12x + 0.6x2 + -150 + 12x + -0.6x2

Reorder the terms:
-150 + 12x + -0.6x2 = 150 + -150 + -12x + 12x + 0.6x2 + -0.6x2

Combine like terms: 150 + -150 = 0
-150 + 12x + -0.6x2 = 0 + -12x + 12x + 0.6x2 + -0.6x2
-150 + 12x + -0.6x2 = -12x + 12x + 0.6x2 + -0.6x2

Combine like terms: -12x + 12x = 0
-150 + 12x + -0.6x2 = 0 + 0.6x2 + -0.6x2
-150 + 12x + -0.6x2 = 0.6x2 + -0.6x2

Combine like terms: 0.6x2 + -0.6x2 = 0.0
-150 + 12x + -0.6x2 = 0.0

Begin completing the square.  Divide all terms by
-0.6 the coefficient of the squared term: 

Divide each side by '-0.6'.
250 + -20x + x2 = 0

Move the constant term to the right:

Add '-250' to each side of the equation.
250 + -20x + -250 + x2 = 0 + -250

Reorder the terms:
250 + -250 + -20x + x2 = 0 + -250

Combine like terms: 250 + -250 = 0
0 + -20x + x2 = 0 + -250
-20x + x2 = 0 + -250

Combine like terms: 0 + -250 = -250
-20x + x2 = -250

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -250 + 100

Reorder the terms:
100 + -20x + x2 = -250 + 100

Combine like terms: -250 + 100 = -150
100 + -20x + x2 = -150

Factor a perfect square on the left side:
(x + -10)(x + -10) = -150

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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