2x^2+3x+16=2x+4

Solution for 2x^2+3x+16=2x+4 equation:

Simplifying
2x2 + 3x + 16 = 2x + 4

Reorder the terms:
16 + 3x + 2x2 = 2x + 4

Reorder the terms:
16 + 3x + 2x2 = 4 + 2x

Solving
16 + 3x + 2x2 = 4 + 2x

Solving for variable 'x'.

Reorder the terms:
16 + -4 + 3x + -2x + 2x2 = 4 + 2x + -4 + -2x

Combine like terms: 16 + -4 = 12
12 + 3x + -2x + 2x2 = 4 + 2x + -4 + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x + 2x2 = 4 + 2x + -4 + -2x

Reorder the terms:
12 + 1x + 2x2 = 4 + -4 + 2x + -2x

Combine like terms: 4 + -4 = 0
12 + 1x + 2x2 = 0 + 2x + -2x
12 + 1x + 2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 1x + 2x2 = 0

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

Divide each side by '2'.
6 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 0.5x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 0.5x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 0.5x + x2 = 0 + -6
0.5x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
0.5x + x2 = -6

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -6 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -6 + 0.0625

Combine like terms: -6 + 0.0625 = -5.9375
0.0625 + 0.5x + x2 = -5.9375

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -5.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.