=3x^2-24x+50

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Solution for =3x^2-24x+50 equation: 


Simplifying
0 = 3x2 + -24x + 50

Reorder the terms:
0 = 50 + -24x + 3x2

Solving
0 = 50 + -24x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -50 = -50
-50 + 24x + -3x2 = 50 + -24x + 3x2 + -50 + 24x + -3x2

Reorder the terms:
-50 + 24x + -3x2 = 50 + -50 + -24x + 24x + 3x2 + -3x2

Combine like terms: 50 + -50 = 0
-50 + 24x + -3x2 = 0 + -24x + 24x + 3x2 + -3x2
-50 + 24x + -3x2 = -24x + 24x + 3x2 + -3x2

Combine like terms: -24x + 24x = 0
-50 + 24x + -3x2 = 0 + 3x2 + -3x2
-50 + 24x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-50 + 24x + -3x2 = 0

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

Divide each side by '-3'.
16.66666667 + -8x + x2 = 0

Move the constant term to the right:

Add '-16.66666667' to each side of the equation.
16.66666667 + -8x + -16.66666667 + x2 = 0 + -16.66666667

Reorder the terms:
16.66666667 + -16.66666667 + -8x + x2 = 0 + -16.66666667

Combine like terms: 16.66666667 + -16.66666667 = 0.00000000
0.00000000 + -8x + x2 = 0 + -16.66666667
-8x + x2 = 0 + -16.66666667

Combine like terms: 0 + -16.66666667 = -16.66666667
-8x + x2 = -16.66666667

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -16.66666667 + 16

Reorder the terms:
16 + -8x + x2 = -16.66666667 + 16

Combine like terms: -16.66666667 + 16 = -0.66666667
16 + -8x + x2 = -0.66666667

Factor a perfect square on the left side:
(x + -4)(x + -4) = -0.66666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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