2x^2+x+3=4(3x-5)

Solution for 2x^2+x+3=4(3x-5) equation:

Simplifying
2x2 + x + 3 = 4(3x + -5)

Reorder the terms:
3 + x + 2x2 = 4(3x + -5)

Reorder the terms:
3 + x + 2x2 = 4(-5 + 3x)
3 + x + 2x2 = (-5 * 4 + 3x * 4)
3 + x + 2x2 = (-20 + 12x)

Solving
3 + x + 2x2 = -20 + 12x

Solving for variable 'x'.

Reorder the terms:
3 + 20 + x + -12x + 2x2 = -20 + 12x + 20 + -12x

Combine like terms: 3 + 20 = 23
23 + x + -12x + 2x2 = -20 + 12x + 20 + -12x

Combine like terms: x + -12x = -11x
23 + -11x + 2x2 = -20 + 12x + 20 + -12x

Reorder the terms:
23 + -11x + 2x2 = -20 + 20 + 12x + -12x

Combine like terms: -20 + 20 = 0
23 + -11x + 2x2 = 0 + 12x + -12x
23 + -11x + 2x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
23 + -11x + 2x2 = 0

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

Divide each side by '2'.
11.5 + -5.5x + x2 = 0

Move the constant term to the right:

Add '-11.5' to each side of the equation.
11.5 + -5.5x + -11.5 + x2 = 0 + -11.5

Reorder the terms:
11.5 + -11.5 + -5.5x + x2 = 0 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -5.5x + x2 = 0 + -11.5
-5.5x + x2 = 0 + -11.5

Combine like terms: 0 + -11.5 = -11.5
-5.5x + x2 = -11.5

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = -11.5 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -11.5 + 7.5625

Combine like terms: -11.5 + 7.5625 = -3.9375
7.5625 + -5.5x + x2 = -3.9375

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = -3.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.