3x(4-x)-17=x(x-3)

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Solution for 3x(4-x)-17=x(x-3) equation: 


Simplifying
3x(4 + -1x) + -17 = x(x + -3)
(4 * 3x + -1x * 3x) + -17 = x(x + -3)
(12x + -3x2) + -17 = x(x + -3)

Reorder the terms:
-17 + 12x + -3x2 = x(x + -3)

Reorder the terms:
-17 + 12x + -3x2 = x(-3 + x)
-17 + 12x + -3x2 = (-3 * x + x * x)
-17 + 12x + -3x2 = (-3x + x2)

Solving
-17 + 12x + -3x2 = -3x + x2

Solving for variable 'x'.

Reorder the terms:
-17 + 12x + 3x + -3x2 + -1x2 = -3x + x2 + 3x + -1x2

Combine like terms: 12x + 3x = 15x
-17 + 15x + -3x2 + -1x2 = -3x + x2 + 3x + -1x2

Combine like terms: -3x2 + -1x2 = -4x2
-17 + 15x + -4x2 = -3x + x2 + 3x + -1x2

Reorder the terms:
-17 + 15x + -4x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
-17 + 15x + -4x2 = 0 + x2 + -1x2
-17 + 15x + -4x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-17 + 15x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
4.25 + -3.75x + x2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + -3.75x + -4.25 + x2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + -3.75x + x2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + -3.75x + x2 = 0 + -4.25
-3.75x + x2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
-3.75x + x2 = -4.25

The x term is -3.75x.  Take half its coefficient (-1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
-3.75x + 3.515625 + x2 = -4.25 + 3.515625

Reorder the terms:
3.515625 + -3.75x + x2 = -4.25 + 3.515625

Combine like terms: -4.25 + 3.515625 = -0.734375
3.515625 + -3.75x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -1.875)(x + -1.875) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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