t^4+4t^3-32t^2=0

Simple and best practice solution for t^4+4t^3-32t^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 t^4+4t^3-32t^2=0 equation:


Simplifying
t4 + 4t3 + -32t2 = 0

Reorder the terms:
-32t2 + 4t3 + t4 = 0

Solving
-32t2 + 4t3 + t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(-32 + 4t + t2) = 0

Factor a trinomial.
t2((-8 + -1t)(4 + -1t)) = 0

Subproblem 1

Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}

Subproblem 2

Set the factor '(-8 + -1t)' equal to zero and attempt to solve: Simplifying -8 + -1t = 0 Solving -8 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = 0 + 8 -1t = 0 + 8 Combine like terms: 0 + 8 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8

Subproblem 3

Set the factor '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4

Solution

t = {0, -8, 4}

See similar equations:

| -2/5w+4/5=-1/3w-7 | | 5r-7+7r=5 | | 4(4x-2)+5=-2 | | 2x+3y=4xy+1 | | 2=2n+3 | | x^2+16x=-55 | | 2x-17=5(x-1) | | 1.3w-12=1.5w | | -3y+-12=18 | | 21-(x+5)=5x-2 | | 6x^2=12+x | | 9+2=411 | | 7(3y-1)=5y | | x^2+17x=-42 | | U=Y(r+A) | | 8=m+15/4 | | m/3-6=1 | | 9+5g=23 | | 4(t-5)+2t= | | 9-5x=51 | | 14=21/4-21/4 | | 4w-6w+8=6w-6w-4 | | m+1/5=8 | | 9x+8x=68 | | 11=m/3+7 | | 1/2x+6=-8 | | 17s-4s=-40+13-51 | | 6-(8-6x)=2x-4 | | 32z-56=-56 | | 7n+8=22 | | 6x-12y=30 | | 25x^2+0x+36=0 |

Equations solver categories