(3X-9)(X+1)=24X-89

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Solution for (3X-9)(X+1)=24X-89 equation: 


Simplifying
(3X + -9)(X + 1) = 24X + -89

Reorder the terms:
(-9 + 3X)(X + 1) = 24X + -89

Reorder the terms:
(-9 + 3X)(1 + X) = 24X + -89

Multiply (-9 + 3X) * (1 + X)
(-9(1 + X) + 3X * (1 + X)) = 24X + -89
((1 * -9 + X * -9) + 3X * (1 + X)) = 24X + -89
((-9 + -9X) + 3X * (1 + X)) = 24X + -89
(-9 + -9X + (1 * 3X + X * 3X)) = 24X + -89
(-9 + -9X + (3X + 3X2)) = 24X + -89

Combine like terms: -9X + 3X = -6X
(-9 + -6X + 3X2) = 24X + -89

Reorder the terms:
-9 + -6X + 3X2 = -89 + 24X

Solving
-9 + -6X + 3X2 = -89 + 24X

Solving for variable 'X'.

Reorder the terms:
-9 + 89 + -6X + -24X + 3X2 = -89 + 24X + 89 + -24X

Combine like terms: -9 + 89 = 80
80 + -6X + -24X + 3X2 = -89 + 24X + 89 + -24X

Combine like terms: -6X + -24X = -30X
80 + -30X + 3X2 = -89 + 24X + 89 + -24X

Reorder the terms:
80 + -30X + 3X2 = -89 + 89 + 24X + -24X

Combine like terms: -89 + 89 = 0
80 + -30X + 3X2 = 0 + 24X + -24X
80 + -30X + 3X2 = 24X + -24X

Combine like terms: 24X + -24X = 0
80 + -30X + 3X2 = 0

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

Divide each side by '3'.
26.66666667 + -10X + X2 = 0

Move the constant term to the right:

Add '-26.66666667' to each side of the equation.
26.66666667 + -10X + -26.66666667 + X2 = 0 + -26.66666667

Reorder the terms:
26.66666667 + -26.66666667 + -10X + X2 = 0 + -26.66666667

Combine like terms: 26.66666667 + -26.66666667 = 0.00000000
0.00000000 + -10X + X2 = 0 + -26.66666667
-10X + X2 = 0 + -26.66666667

Combine like terms: 0 + -26.66666667 = -26.66666667
-10X + X2 = -26.66666667

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 = -26.66666667 + 25

Reorder the terms:
25 + -10X + X2 = -26.66666667 + 25

Combine like terms: -26.66666667 + 25 = -1.66666667
25 + -10X + X2 = -1.66666667

Factor a perfect square on the left side:
(X + -5)(X + -5) = -1.66666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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