-19-17x=(3x-1)(x-7)

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Solution for -19-17x=(3x-1)(x-7) equation: 


Simplifying
-19 + -17x = (3x + -1)(x + -7)

Reorder the terms:
-19 + -17x = (-1 + 3x)(x + -7)

Reorder the terms:
-19 + -17x = (-1 + 3x)(-7 + x)

Multiply (-1 + 3x) * (-7 + x)
-19 + -17x = (-1(-7 + x) + 3x * (-7 + x))
-19 + -17x = ((-7 * -1 + x * -1) + 3x * (-7 + x))
-19 + -17x = ((7 + -1x) + 3x * (-7 + x))
-19 + -17x = (7 + -1x + (-7 * 3x + x * 3x))
-19 + -17x = (7 + -1x + (-21x + 3x2))

Combine like terms: -1x + -21x = -22x
-19 + -17x = (7 + -22x + 3x2)

Solving
-19 + -17x = 7 + -22x + 3x2

Solving for variable 'x'.

Reorder the terms:
-19 + -7 + -17x + 22x + -3x2 = 7 + -22x + 3x2 + -7 + 22x + -3x2

Combine like terms: -19 + -7 = -26
-26 + -17x + 22x + -3x2 = 7 + -22x + 3x2 + -7 + 22x + -3x2

Combine like terms: -17x + 22x = 5x
-26 + 5x + -3x2 = 7 + -22x + 3x2 + -7 + 22x + -3x2

Reorder the terms:
-26 + 5x + -3x2 = 7 + -7 + -22x + 22x + 3x2 + -3x2

Combine like terms: 7 + -7 = 0
-26 + 5x + -3x2 = 0 + -22x + 22x + 3x2 + -3x2
-26 + 5x + -3x2 = -22x + 22x + 3x2 + -3x2

Combine like terms: -22x + 22x = 0
-26 + 5x + -3x2 = 0 + 3x2 + -3x2
-26 + 5x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-26 + 5x + -3x2 = 0

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

Divide each side by '-3'.
8.666666667 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-8.666666667' to each side of the equation.
8.666666667 + -1.666666667x + -8.666666667 + x2 = 0 + -8.666666667

Reorder the terms:
8.666666667 + -8.666666667 + -1.666666667x + x2 = 0 + -8.666666667

Combine like terms: 8.666666667 + -8.666666667 = 0.000000000
0.000000000 + -1.666666667x + x2 = 0 + -8.666666667
-1.666666667x + x2 = 0 + -8.666666667

Combine like terms: 0 + -8.666666667 = -8.666666667
-1.666666667x + x2 = -8.666666667

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -8.666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -8.666666667 + 0.6944444447

Combine like terms: -8.666666667 + 0.6944444447 = -7.9722222223
0.6944444447 + -1.666666667x + x2 = -7.9722222223

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -7.9722222223

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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