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

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

Simplifying
4x2 + 10 = x2 + -1x + 4

Reorder the terms:
10 + 4x2 = x2 + -1x + 4

Reorder the terms:
10 + 4x2 = 4 + -1x + x2

Solving
10 + 4x2 = 4 + -1x + x2

Solving for variable 'x'.

Reorder the terms:
10 + -4 + x + 4x2 + -1x2 = 4 + -1x + x2 + -4 + x + -1x2

Combine like terms: 10 + -4 = 6
6 + x + 4x2 + -1x2 = 4 + -1x + x2 + -4 + x + -1x2

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

Reorder the terms:
6 + x + 3x2 = 4 + -4 + -1x + x + x2 + -1x2

Combine like terms: 4 + -4 = 0
6 + x + 3x2 = 0 + -1x + x + x2 + -1x2
6 + x + 3x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
6 + x + 3x2 = 0 + x2 + -1x2
6 + x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + x + 3x2 = 0

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

Divide each side by '3'.
2 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 0.3333333333x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 0.3333333333x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 0.3333333333x + x2 = 0 + -2
0.3333333333x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
0.3333333333x + x2 = -2

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

Add '0.25' to each side of the equation.
0.3333333333x + 0.25 + x2 = -2 + 0.25

Reorder the terms:
0.25 + 0.3333333333x + x2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + 0.3333333333x + x2 = -1.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.