8x^2-32x^4+24x^2=0

Simple and best practice solution for 8x^2-32x^4+24x^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^2-32x^4+24x^2=0 equation:


Simplifying
8x2 + -32x4 + 24x2 = 0

Reorder the terms:
8x2 + 24x2 + -32x4 = 0

Combine like terms: 8x2 + 24x2 = 32x2
32x2 + -32x4 = 0

Solving
32x2 + -32x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '32x2'.
32x2(1 + -1x2) = 0

Factor a difference between two squares.
32x2((1 + x)(1 + -1x)) = 0

Ignore the factor 32.

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

Subproblem 3

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

Solution

x = {0, -1, 1}

See similar equations:

| -1.5y+10=-8 | | 2x(x)-16x+24=0 | | 1/3x+8 | | x=(75+-24) | | x^5-6x^3+8x=0 | | 15=25 | | x=(75-23) | | 12ab+5ab-18ab= | | y=25x+15 | | -22000+45000=12000-155000 | | X^2-11x+42=0 | | x=(75-24) | | 12x-3+13-7x= | | 7c-4=-36 | | -n-0.34=3.33 | | x-9/8=6 | | x+7/3=5 | | 2x/7=-4 | | 5-x/7=11 | | x/9+3=0 | | x/7+6=9 | | x-4/3=17 | | 7x/13=0 | | 48/9=a | | 30/4= | | 48/9 | | -4-x/3=-8 | | (3x-7)= | | 120/4= | | 3-x/4=12 | | x/8-6=5 | | 7b=77+8 |

Equations solver categories