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

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


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

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

Reorder the terms:
6x + x + -2x2 = 13

Combine like terms: 6x + x = 7x
7x + -2x2 = 13

Solving
7x + -2x2 = 13

Solving for variable 'x'.

Reorder the terms:
-13 + 7x + -2x2 = 13 + -13

Combine like terms: 13 + -13 = 0
-13 + 7x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
6.5 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + -3.5x + -6.5 + x2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + -3.5x + x2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -3.5x + x2 = 0 + -6.5
-3.5x + x2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
-3.5x + x2 = -6.5

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -6.5 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -6.5 + 3.0625

Combine like terms: -6.5 + 3.0625 = -3.4375
3.0625 + -3.5x + x2 = -3.4375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -3.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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