4x^2+11=3x-10

Solution for 4x^2+11=3x-10 equation:

Simplifying
4x2 + 11 = 3x + -10

Reorder the terms:
11 + 4x2 = 3x + -10

Reorder the terms:
11 + 4x2 = -10 + 3x

Solving
11 + 4x2 = -10 + 3x

Solving for variable 'x'.

Reorder the terms:
11 + 10 + -3x + 4x2 = -10 + 3x + 10 + -3x

Combine like terms: 11 + 10 = 21
21 + -3x + 4x2 = -10 + 3x + 10 + -3x

Reorder the terms:
21 + -3x + 4x2 = -10 + 10 + 3x + -3x

Combine like terms: -10 + 10 = 0
21 + -3x + 4x2 = 0 + 3x + -3x
21 + -3x + 4x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -3x + 4x2 = 0

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

Divide each side by '4'.
5.25 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-5.25' to each side of the equation.
5.25 + -0.75x + -5.25 + x2 = 0 + -5.25

Reorder the terms:
5.25 + -5.25 + -0.75x + x2 = 0 + -5.25

Combine like terms: 5.25 + -5.25 = 0.00
0.00 + -0.75x + x2 = 0 + -5.25
-0.75x + x2 = 0 + -5.25

Combine like terms: 0 + -5.25 = -5.25
-0.75x + x2 = -5.25

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -5.25 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -5.25 + 0.140625

Combine like terms: -5.25 + 0.140625 = -5.109375
0.140625 + -0.75x + x2 = -5.109375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -5.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.