2x(x-3)+12=2(x+1)-3x-23

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Solution for 2x(x-3)+12=2(x+1)-3x-23 equation: 


Simplifying
2x(x + -3) + 12 = 2(x + 1) + -3x + -23

Reorder the terms:
2x(-3 + x) + 12 = 2(x + 1) + -3x + -23
(-3 * 2x + x * 2x) + 12 = 2(x + 1) + -3x + -23
(-6x + 2x2) + 12 = 2(x + 1) + -3x + -23

Reorder the terms:
12 + -6x + 2x2 = 2(x + 1) + -3x + -23

Reorder the terms:
12 + -6x + 2x2 = 2(1 + x) + -3x + -23
12 + -6x + 2x2 = (1 * 2 + x * 2) + -3x + -23
12 + -6x + 2x2 = (2 + 2x) + -3x + -23

Reorder the terms:
12 + -6x + 2x2 = 2 + -23 + 2x + -3x

Combine like terms: 2 + -23 = -21
12 + -6x + 2x2 = -21 + 2x + -3x

Combine like terms: 2x + -3x = -1x
12 + -6x + 2x2 = -21 + -1x

Solving
12 + -6x + 2x2 = -21 + -1x

Solving for variable 'x'.

Reorder the terms:
12 + 21 + -6x + x + 2x2 = -21 + -1x + 21 + x

Combine like terms: 12 + 21 = 33
33 + -6x + x + 2x2 = -21 + -1x + 21 + x

Combine like terms: -6x + x = -5x
33 + -5x + 2x2 = -21 + -1x + 21 + x

Reorder the terms:
33 + -5x + 2x2 = -21 + 21 + -1x + x

Combine like terms: -21 + 21 = 0
33 + -5x + 2x2 = 0 + -1x + x
33 + -5x + 2x2 = -1x + x

Combine like terms: -1x + x = 0
33 + -5x + 2x2 = 0

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

Divide each side by '2'.
16.5 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-16.5' to each side of the equation.
16.5 + -2.5x + -16.5 + x2 = 0 + -16.5

Reorder the terms:
16.5 + -16.5 + -2.5x + x2 = 0 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + -2.5x + x2 = 0 + -16.5
-2.5x + x2 = 0 + -16.5

Combine like terms: 0 + -16.5 = -16.5
-2.5x + x2 = -16.5

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -16.5 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -16.5 + 1.5625

Combine like terms: -16.5 + 1.5625 = -14.9375
1.5625 + -2.5x + x2 = -14.9375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -14.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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