-3x^2-11x-24=-11x-10x

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Solution for -3x^2-11x-24=-11x-10x equation: 


Simplifying
-3x2 + -11x + -24 = -11x + -10x

Reorder the terms:
-24 + -11x + -3x2 = -11x + -10x

Combine like terms: -11x + -10x = -21x
-24 + -11x + -3x2 = -21x

Solving
-24 + -11x + -3x2 = -21x

Solving for variable 'x'.

Reorder the terms:
-24 + -11x + 21x + -3x2 = -21x + 21x

Combine like terms: -11x + 21x = 10x
-24 + 10x + -3x2 = -21x + 21x

Combine like terms: -21x + 21x = 0
-24 + 10x + -3x2 = 0

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

Divide each side by '-3'.
8 + -3.333333333x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -3.333333333x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -3.333333333x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3.333333333x + x2 = 0 + -8
-3.333333333x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-3.333333333x + x2 = -8

The x term is -3.333333333x.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333x + 2.777777779 + x2 = -8 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333x + x2 = -8 + 2.777777779

Combine like terms: -8 + 2.777777779 = -5.222222221
2.777777779 + -3.333333333x + x2 = -5.222222221

Factor a perfect square on the left side:
(x + -1.666666667)(x + -1.666666667) = -5.222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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