8x^3-192x^4+1536x^3-4096x^2=0

Simple and best practice solution for 8x^3-192x^4+1536x^3-4096x^2=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 8x^3-192x^4+1536x^3-4096x^2=0 equation: 


Simplifying
8x3 + -192x4 + 1536x3 + -4096x2 = 0

Reorder the terms:
-4096x2 + 8x3 + 1536x3 + -192x4 = 0

Combine like terms: 8x3 + 1536x3 = 1544x3
-4096x2 + 1544x3 + -192x4 = 0

Solving
-4096x2 + 1544x3 + -192x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x2'.
8x2(-512 + 193x + -24x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-512 + 193x + -24x2)' equal to zero and attempt to solve:

Simplifying
-512 + 193x + -24x2 = 0

Solving
-512 + 193x + -24x2 = 0

Begin completing the square.  Divide all terms by
-24 the coefficient of the squared term: 

Divide each side by '-24'.
21.33333333 + -8.041666667x + x2 = 0

Move the constant term to the right:

Add '-21.33333333' to each side of the equation.
21.33333333 + -8.041666667x + -21.33333333 + x2 = 0 + -21.33333333

Reorder the terms:
21.33333333 + -21.33333333 + -8.041666667x + x2 = 0 + -21.33333333

Combine like terms: 21.33333333 + -21.33333333 = 0.00000000
0.00000000 + -8.041666667x + x2 = 0 + -21.33333333
-8.041666667x + x2 = 0 + -21.33333333

Combine like terms: 0 + -21.33333333 = -21.33333333
-8.041666667x + x2 = -21.33333333

The x term is -8.041666667x.  Take half its coefficient (-4.020833334).
Square it (16.16710070) and add it to both sides.

Add '16.16710070' to each side of the equation.
-8.041666667x + 16.16710070 + x2 = -21.33333333 + 16.16710070

Reorder the terms:
16.16710070 + -8.041666667x + x2 = -21.33333333 + 16.16710070

Combine like terms: -21.33333333 + 16.16710070 = -5.16623263
16.16710070 + -8.041666667x + x2 = -5.16623263

Factor a perfect square on the left side:
(x + -4.020833334)(x + -4.020833334) = -5.16623263

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

See similar equations:

| 52.50=0.25x+15 | | 2x^3+x^2-6x-1040=0 | | A=1/2(24)(74) | | w^2+16w=260 | | 4x-3y+7=0 | | 2x^2-6x-32=0 | | xdy-ydx+(y^2-1)dy=0 | | (2+-5)(2+-1)=0 | | (4x+49)=(8x+5) | | 3w^2-21=0 | | 3v-12=168 | | n=(-p+5x)/-5 | | 4x+30=45x | | x+x-58=592 | | n=-p+5x/-5 | | 18x-30+10y=4.60 | | -p+5z/-5 | | x+(x-60)=640 | | 5x+(x+7)=3x-(-29) | | 2m+8=17 | | x+x+5=115 | | 3+3/2x+4=4x-5/2x | | -7a^2=-6a-18 | | -188v=-414 | | 15-2/5x=-6 | | 7a^2=-6a-18 | | 50=1.00x-.25x-7.5 | | 9(t-3)+5t=7(2t+3)-11 | | x+23=3x+7 | | 4/3k=8 | | 6(8.66666667+4)=3(8.66666667)-2 | | 9(t-3)+5t=7(2t+3)11 |

Equations solver categories