5(x-1)-19=3x(x-2)

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Solution for 5(x-1)-19=3x(x-2) equation: 


Simplifying
5(x + -1) + -19 = 3x(x + -2)

Reorder the terms:
5(-1 + x) + -19 = 3x(x + -2)
(-1 * 5 + x * 5) + -19 = 3x(x + -2)
(-5 + 5x) + -19 = 3x(x + -2)

Reorder the terms:
-5 + -19 + 5x = 3x(x + -2)

Combine like terms: -5 + -19 = -24
-24 + 5x = 3x(x + -2)

Reorder the terms:
-24 + 5x = 3x(-2 + x)
-24 + 5x = (-2 * 3x + x * 3x)
-24 + 5x = (-6x + 3x2)

Solving
-24 + 5x = -6x + 3x2

Solving for variable 'x'.

Combine like terms: 5x + 6x = 11x
-24 + 11x + -3x2 = -6x + 3x2 + 6x + -3x2

Reorder the terms:
-24 + 11x + -3x2 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
-24 + 11x + -3x2 = 0 + 3x2 + -3x2
-24 + 11x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-24 + 11x + -3x2 = 0

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

Divide each side by '-3'.
8 + -3.666666667x + x2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -3.666666667x + -8 + x2 = 0 + -8

Reorder the terms:
8 + -8 + -3.666666667x + x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3.666666667x + x2 = 0 + -8
-3.666666667x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-3.666666667x + x2 = -8

The x term is -3.666666667x.  Take half its coefficient (-1.833333334).
Square it (3.361111114) and add it to both sides.

Add '3.361111114' to each side of the equation.
-3.666666667x + 3.361111114 + x2 = -8 + 3.361111114

Reorder the terms:
3.361111114 + -3.666666667x + x2 = -8 + 3.361111114

Combine like terms: -8 + 3.361111114 = -4.638888886
3.361111114 + -3.666666667x + x2 = -4.638888886

Factor a perfect square on the left side:
(x + -1.833333334)(x + -1.833333334) = -4.638888886

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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