0=x^5+5x^4-2x^3-24x^2

Simple and best practice solution for 0=x^5+5x^4-2x^3-24x^2 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 0=x^5+5x^4-2x^3-24x^2 equation: 


Simplifying
0 = x5 + 5x4 + -2x3 + -24x2

Reorder the terms:
0 = -24x2 + -2x3 + 5x4 + x5

Solving
0 = -24x2 + -2x3 + 5x4 + x5

Solving for variable 'x'.
Remove the zero:
24x2 + 2x3 + -5x4 + -1x5 = -24x2 + -2x3 + 5x4 + x5 + 24x2 + 2x3 + -5x4 + -1x5

Reorder the terms:
24x2 + 2x3 + -5x4 + -1x5 = -24x2 + 24x2 + -2x3 + 2x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: -24x2 + 24x2 = 0
24x2 + 2x3 + -5x4 + -1x5 = 0 + -2x3 + 2x3 + 5x4 + -5x4 + x5 + -1x5
24x2 + 2x3 + -5x4 + -1x5 = -2x3 + 2x3 + 5x4 + -5x4 + x5 + -1x5

Combine like terms: -2x3 + 2x3 = 0
24x2 + 2x3 + -5x4 + -1x5 = 0 + 5x4 + -5x4 + x5 + -1x5
24x2 + 2x3 + -5x4 + -1x5 = 5x4 + -5x4 + x5 + -1x5

Combine like terms: 5x4 + -5x4 = 0
24x2 + 2x3 + -5x4 + -1x5 = 0 + x5 + -1x5
24x2 + 2x3 + -5x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
24x2 + 2x3 + -5x4 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(24 + 2x + -5x2 + -1x3) = 0


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 '(24 + 2x + -5x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
24 + 2x + -5x2 + -1x3 = 0

Solving
24 + 2x + -5x2 + -1x3 = 0

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:

| y=4x^2+10x-4 | | 36+5t=-12-3t | | 5n-8=4n+2n | | g(c+1)=x+4 | | 2(x+3)+3x=-3(x-2)+8x | | 9.2x-18.4=8.9x-53.4 | | f(x)=6x^2+78 | | -72x=20x+92 | | 26=-68x+42x | | 6v^2-11v-35=0 | | 3a-4b+c-d=0 | | ln(x+6)+ln(x+5)=ln(5) | | f(x)=2x^4-x^3+49x^2-25x-25 | | n-1.4n-1=6(n-2.3) | | C-32=71 | | x+(x+40)=110 | | 2ln(lnx)-ln(5lnx-6)=0 | | a-6.6=10.1 | | -17x+2(x+14)=-2 | | y^2=x^2-x^4 | | (X^8)-1=0 | | R+4=12 | | 6n+45=4n-15 | | f(x+4)=8(x+4)-2 | | (8+z)(5z+9)=0 | | -2-3x+5=16+2x+22 | | .75x=.51 | | 8.5x-12=6.5x-18 | | (4z+5)(4+z)=0 | | 27y^3+36y^2+12y= | | y=6x^2+7x-10 | | 8.5x-12=6.5-18 |

Equations solver categories