2x^2+3=4x+11(0)

Solution for 2x^2+3=4x+11(0) equation:

Simplifying
2x2 + 3 = 4x + 11(0)

Reorder the terms:
3 + 2x2 = 4x + 11(0)

Multiply 11 * 0
3 + 2x2 = 4x + 0

Anything times zero is zero.
3 + 2x2 = 4x + 0

Reorder the terms:
3 + 2x2 = 0 + 4x
Remove the zero:
3 + 2x2 = 4x

Solving
3 + 2x2 = 4x

Solving for variable 'x'.

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

Combine like terms: 4x + -4x = 0
3 + -4x + 2x2 = 0

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

Divide each side by '2'.
1.5 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -2x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -2x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2x + x2 = 0 + -1.5
-2x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-2x + x2 = -1.5

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.5 + 1

Reorder the terms:
1 + -2x + x2 = -1.5 + 1

Combine like terms: -1.5 + 1 = -0.5
1 + -2x + x2 = -0.5

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.