4x^2+20=10x+3x-4

Solution for 4x^2+20=10x+3x-4 equation:

Simplifying
4x2 + 20 = 10x + 3x + -4

Reorder the terms:
20 + 4x2 = 10x + 3x + -4

Reorder the terms:
20 + 4x2 = -4 + 10x + 3x

Combine like terms: 10x + 3x = 13x
20 + 4x2 = -4 + 13x

Solving
20 + 4x2 = -4 + 13x

Solving for variable 'x'.

Reorder the terms:
20 + 4 + -13x + 4x2 = -4 + 13x + 4 + -13x

Combine like terms: 20 + 4 = 24
24 + -13x + 4x2 = -4 + 13x + 4 + -13x

Reorder the terms:
24 + -13x + 4x2 = -4 + 4 + 13x + -13x

Combine like terms: -4 + 4 = 0
24 + -13x + 4x2 = 0 + 13x + -13x
24 + -13x + 4x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
24 + -13x + 4x2 = 0

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

Divide each side by '4'.
6 + -3.25x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.25x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -3.25x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.25x + x2 = 0 + -6
-3.25x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3.25x + x2 = -6

The x term is -3.25x.  Take half its coefficient (-1.625).
Square it (2.640625) and add it to both sides.

Add '2.640625' to each side of the equation.
-3.25x + 2.640625 + x2 = -6 + 2.640625

Reorder the terms:
2.640625 + -3.25x + x2 = -6 + 2.640625

Combine like terms: -6 + 2.640625 = -3.359375
2.640625 + -3.25x + x2 = -3.359375

Factor a perfect square on the left side:
(x + -1.625)(x + -1.625) = -3.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.