-13=-3x(x-2)+7(x-5)

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Solution for -13=-3x(x-2)+7(x-5) equation: 


Simplifying
-13 = -3x(x + -2) + 7(x + -5)

Reorder the terms:
-13 = -3x(-2 + x) + 7(x + -5)
-13 = (-2 * -3x + x * -3x) + 7(x + -5)
-13 = (6x + -3x2) + 7(x + -5)

Reorder the terms:
-13 = 6x + -3x2 + 7(-5 + x)
-13 = 6x + -3x2 + (-5 * 7 + x * 7)
-13 = 6x + -3x2 + (-35 + 7x)

Reorder the terms:
-13 = -35 + 6x + 7x + -3x2

Combine like terms: 6x + 7x = 13x
-13 = -35 + 13x + -3x2

Solving
-13 = -35 + 13x + -3x2

Solving for variable 'x'.

Combine like terms: -13 + 35 = 22
22 + -13x + 3x2 = -35 + 13x + -3x2 + 35 + -13x + 3x2

Reorder the terms:
22 + -13x + 3x2 = -35 + 35 + 13x + -13x + -3x2 + 3x2

Combine like terms: -35 + 35 = 0
22 + -13x + 3x2 = 0 + 13x + -13x + -3x2 + 3x2
22 + -13x + 3x2 = 13x + -13x + -3x2 + 3x2

Combine like terms: 13x + -13x = 0
22 + -13x + 3x2 = 0 + -3x2 + 3x2
22 + -13x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
22 + -13x + 3x2 = 0

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

Divide each side by '3'.
7.333333333 + -4.333333333x + x2 = 0

Move the constant term to the right:

Add '-7.333333333' to each side of the equation.
7.333333333 + -4.333333333x + -7.333333333 + x2 = 0 + -7.333333333

Reorder the terms:
7.333333333 + -7.333333333 + -4.333333333x + x2 = 0 + -7.333333333

Combine like terms: 7.333333333 + -7.333333333 = 0.000000000
0.000000000 + -4.333333333x + x2 = 0 + -7.333333333
-4.333333333x + x2 = 0 + -7.333333333

Combine like terms: 0 + -7.333333333 = -7.333333333
-4.333333333x + x2 = -7.333333333

The x term is -4.333333333x.  Take half its coefficient (-2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
-4.333333333x + 4.694444446 + x2 = -7.333333333 + 4.694444446

Reorder the terms:
4.694444446 + -4.333333333x + x2 = -7.333333333 + 4.694444446

Combine like terms: -7.333333333 + 4.694444446 = -2.638888887
4.694444446 + -4.333333333x + x2 = -2.638888887

Factor a perfect square on the left side:
(x + -2.166666667)(x + -2.166666667) = -2.638888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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