0=16x^3-32x

Simple and best practice solution for 0=16x^3-32x 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=16x^3-32x equation:


Simplifying
0 = 16x3 + -32x

Reorder the terms:
0 = -32x + 16x3

Solving
0 = -32x + 16x3

Solving for variable 'x'.
Remove the zero:
32x + -16x3 = -32x + 16x3 + 32x + -16x3

Reorder the terms:
32x + -16x3 = -32x + 32x + 16x3 + -16x3

Combine like terms: -32x + 32x = 0
32x + -16x3 = 0 + 16x3 + -16x3
32x + -16x3 = 16x3 + -16x3

Combine like terms: 16x3 + -16x3 = 0
32x + -16x3 = 0

Factor out the Greatest Common Factor (GCF), '16x'.
16x(2 + -1x2) = 0

Ignore the factor 16.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 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 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}

Solution

x = {0, -1.414213562, 1.414213562}

See similar equations:

| -3x=-20+4x | | y=22.5x+30 | | x*6-2x*3+1=0 | | .08+.06(x+9)=1.24 | | 3+4(g+5)=31 | | 0.9x+0.6=-0.3 | | -0.5x+4.66=-0.7x+2.26 | | 2x+1.3x=-.7x+32 | | X+19(124+6)+C=z | | 3x-13=5+x | | 3x-8=272 | | 6(3z-1)-4(z+9)=11(z+1) | | 4x+2=1-x | | 5x+12=9x | | 53-13=5(x-5) | | 29y=4 | | -14x^2+1134=0 | | 5-2(x+5)=11 | | -22x-25x-9x=99 | | 2w-40=220 | | 7(4-2x)+(8x)=2 | | 144=25x^2 | | 1+3x+7=31 | | .5(4b+8)=30 | | 5c=-10+6c | | -3x^2+18+120=0 | | 30-2y=28 | | -0.08x=-7.2 | | 2x^3-3x^2-5x+4=O | | 9-3[n-5]=30 | | -0.08x=-72 | | 3.4x+6-4.4x=7 |

Equations solver categories