24x-3x^2-8+x=36x^2+24x+4

Solution for 24x-3x^2-8+x=36x^2+24x+4 equation:

Simplifying
24x + -3x2 + -8 + x = 36x2 + 24x + 4

Reorder the terms:
-8 + 24x + x + -3x2 = 36x2 + 24x + 4

Combine like terms: 24x + x = 25x
-8 + 25x + -3x2 = 36x2 + 24x + 4

Reorder the terms:
-8 + 25x + -3x2 = 4 + 24x + 36x2

Solving
-8 + 25x + -3x2 = 4 + 24x + 36x2

Solving for variable 'x'.

Reorder the terms:
-8 + -4 + 25x + -24x + -3x2 + -36x2 = 4 + 24x + 36x2 + -4 + -24x + -36x2

Combine like terms: -8 + -4 = -12
-12 + 25x + -24x + -3x2 + -36x2 = 4 + 24x + 36x2 + -4 + -24x + -36x2

Combine like terms: 25x + -24x = 1x
-12 + 1x + -3x2 + -36x2 = 4 + 24x + 36x2 + -4 + -24x + -36x2

Combine like terms: -3x2 + -36x2 = -39x2
-12 + 1x + -39x2 = 4 + 24x + 36x2 + -4 + -24x + -36x2

Reorder the terms:
-12 + 1x + -39x2 = 4 + -4 + 24x + -24x + 36x2 + -36x2

Combine like terms: 4 + -4 = 0
-12 + 1x + -39x2 = 0 + 24x + -24x + 36x2 + -36x2
-12 + 1x + -39x2 = 24x + -24x + 36x2 + -36x2

Combine like terms: 24x + -24x = 0
-12 + 1x + -39x2 = 0 + 36x2 + -36x2
-12 + 1x + -39x2 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
-12 + 1x + -39x2 = 0

Begin completing the square.  Divide all terms by
-39 the coefficient of the squared term: 

Divide each side by '-39'.
0.3076923077 + -0.02564102564x + x2 = 0

Move the constant term to the right:

Add '-0.3076923077' to each side of the equation.
0.3076923077 + -0.02564102564x + -0.3076923077 + x2 = 0 + -0.3076923077

Reorder the terms:
0.3076923077 + -0.3076923077 + -0.02564102564x + x2 = 0 + -0.3076923077

Combine like terms: 0.3076923077 + -0.3076923077 = 0.0000000000
0.0000000000 + -0.02564102564x + x2 = 0 + -0.3076923077
-0.02564102564x + x2 = 0 + -0.3076923077

Combine like terms: 0 + -0.3076923077 = -0.3076923077
-0.02564102564x + x2 = -0.3076923077

The x term is -0.02564102564x.  Take half its coefficient (-0.01282051282).
Square it (0.0001643655490) and add it to both sides.

Add '0.0001643655490' to each side of the equation.
-0.02564102564x + 0.0001643655490 + x2 = -0.3076923077 + 0.0001643655490

Reorder the terms:
0.0001643655490 + -0.02564102564x + x2 = -0.3076923077 + 0.0001643655490

Combine like terms: -0.3076923077 + 0.0001643655490 = -0.307527942151
0.0001643655490 + -0.02564102564x + x2 = -0.307527942151

Factor a perfect square on the left side:
(x + -0.01282051282)(x + -0.01282051282) = -0.307527942151

Can't calculate square root of the right side.

The solution to this equation could not be determined.