(3x-7)(x-3)=-16

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Solution for (3x-7)(x-3)=-16 equation: 


Simplifying
(3x + -7)(x + -3) = -16

Reorder the terms:
(-7 + 3x)(x + -3) = -16

Reorder the terms:
(-7 + 3x)(-3 + x) = -16

Multiply (-7 + 3x) * (-3 + x)
(-7(-3 + x) + 3x * (-3 + x)) = -16
((-3 * -7 + x * -7) + 3x * (-3 + x)) = -16
((21 + -7x) + 3x * (-3 + x)) = -16
(21 + -7x + (-3 * 3x + x * 3x)) = -16
(21 + -7x + (-9x + 3x2)) = -16

Combine like terms: -7x + -9x = -16x
(21 + -16x + 3x2) = -16

Solving
21 + -16x + 3x2 = -16

Solving for variable 'x'.

Reorder the terms:
21 + 16 + -16x + 3x2 = -16 + 16

Combine like terms: 21 + 16 = 37
37 + -16x + 3x2 = -16 + 16

Combine like terms: -16 + 16 = 0
37 + -16x + 3x2 = 0

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

Divide each side by '3'.
12.33333333 + -5.333333333x + x2 = 0

Move the constant term to the right:

Add '-12.33333333' to each side of the equation.
12.33333333 + -5.333333333x + -12.33333333 + x2 = 0 + -12.33333333

Reorder the terms:
12.33333333 + -12.33333333 + -5.333333333x + x2 = 0 + -12.33333333

Combine like terms: 12.33333333 + -12.33333333 = 0.00000000
0.00000000 + -5.333333333x + x2 = 0 + -12.33333333
-5.333333333x + x2 = 0 + -12.33333333

Combine like terms: 0 + -12.33333333 = -12.33333333
-5.333333333x + x2 = -12.33333333

The x term is -5.333333333x.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333x + 7.111111113 + x2 = -12.33333333 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333x + x2 = -12.33333333 + 7.111111113

Combine like terms: -12.33333333 + 7.111111113 = -5.222222217
7.111111113 + -5.333333333x + x2 = -5.222222217

Factor a perfect square on the left side:
(x + -2.666666667)(x + -2.666666667) = -5.222222217

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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