x^2+5x-8=4x^2+4

Solution for x^2+5x-8=4x^2+4 equation:

Simplifying
x2 + 5x + -8 = 4x2 + 4

Reorder the terms:
-8 + 5x + x2 = 4x2 + 4

Reorder the terms:
-8 + 5x + x2 = 4 + 4x2

Solving
-8 + 5x + x2 = 4 + 4x2

Solving for variable 'x'.

Reorder the terms:
-8 + -4 + 5x + x2 + -4x2 = 4 + 4x2 + -4 + -4x2

Combine like terms: -8 + -4 = -12
-12 + 5x + x2 + -4x2 = 4 + 4x2 + -4 + -4x2

Combine like terms: x2 + -4x2 = -3x2
-12 + 5x + -3x2 = 4 + 4x2 + -4 + -4x2

Reorder the terms:
-12 + 5x + -3x2 = 4 + -4 + 4x2 + -4x2

Combine like terms: 4 + -4 = 0
-12 + 5x + -3x2 = 0 + 4x2 + -4x2
-12 + 5x + -3x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-12 + 5x + -3x2 = 0

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

Divide each side by '-3'.
4 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -1.666666667x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -1.666666667x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1.666666667x + x2 = 0 + -4
-1.666666667x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1.666666667x + x2 = -4

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -4 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -4 + 0.6944444447

Combine like terms: -4 + 0.6944444447 = -3.3055555553
0.6944444447 + -1.666666667x + x2 = -3.3055555553

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -3.3055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.