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

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


Simplifying
-1x4 + 5x2 + -1x2 = 0

Reorder the terms:
5x2 + -1x2 + -1x4 = 0

Combine like terms: 5x2 + -1x2 = 4x2
4x2 + -1x4 = 0

Solving
4x2 + -1x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(4 + -1x2) = 0

Factor a difference between two squares.
x2((2 + x)(2 + -1x)) = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 3

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {0, -2, 2}

See similar equations:

| 4x-14=9x+3 | | 9x-3-4x+8=8x-3x+2 | | y=180-x | | 500x+200y=39000 | | X=5e^2 | | 5m-1=3m+17 | | 5y+x-2y+3x= | | X=180+-1Y | | -3+13=m-1 | | -4+14=15x-2-14x | | 0=33t-16t^2 | | x^4+2x^3+20x+12=0 | | 9(x+6)-33= | | w-55=197 | | z/4=1-z/4 | | .20u-.8571428571=-.5 | | 0=t(33.3-16t) | | 200m-100m+57300=60300-200m | | 21x(4x+20y)-(20x+20y)= | | 10x^4-13x^3+15x^2-18x-24=0 | | F(x)=2x^3-5x^3+px-5 | | 10(s-6)=-101 | | 8(2x-4)=8 | | 5(w+3)=2w-15 | | -5x+2(x+3)=24 | | -6w-30=2(w-3) | | 6(x-8)-4x=5(x-4)-1 | | X^5-9x^3+20x=0 | | 45-2w=3w | | 2x^2-5x+39=0 | | 16-(2m+7)=3+3m-19 | | -35-7b=5(-4b-3)-7 |

Equations solver categories