8t^3=32t

Simple and best practice solution for 8t^3=32t 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 8t^3=32t equation:


Simplifying
8t3 = 32t

Solving
8t3 = 32t

Solving for variable 't'.

Reorder the terms:
-32t + 8t3 = 32t + -32t

Combine like terms: 32t + -32t = 0
-32t + 8t3 = 0

Factor out the Greatest Common Factor (GCF), '8t'.
8t(-4 + t2) = 0

Factor a difference between two squares.
8t((2 + t)(-2 + t)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0

Subproblem 2

Set the factor '(2 + t)' equal to zero and attempt to solve: Simplifying 2 + t = 0 Solving 2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + t = 0 + -2 t = 0 + -2 Combine like terms: 0 + -2 = -2 t = -2 Simplifying t = -2

Subproblem 3

Set the factor '(-2 + t)' equal to zero and attempt to solve: Simplifying -2 + t = 0 Solving -2 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + t = 0 + 2 t = 0 + 2 Combine like terms: 0 + 2 = 2 t = 2 Simplifying t = 2

Solution

t = {0, -2, 2}

See similar equations:

| 2y=-x-5 | | y=x^2-18x+90 | | 81b^2-16/59 | | 4x^2-18+20=0 | | (X+3)(x-6)=(2x+7)(x-6) | | -5j+j+(-14j)= | | (X+4)(x-2)=(2x+3)(x-3) | | X*x+24x+20=100 | | -8/7*49 | | -8/7*42 | | -16ds+(-9ds)= | | (3y+4)(y+6)=-2(3y+4) | | 2x-4568=5x | | 2x-(80/x^2)=0 | | 7(2m+7)-7(m-1)= | | (4y+3)(y+7)=-2(4y+3) | | 24n=72 | | (2x+3)(x-4)=10x+15 | | 8y-10=32+y | | 4-(4/x^2)=0 | | 31k=1612 | | 8/x^3=0 | | 2(y-7)/5=-2y | | x+1/12=11/12 | | 2(x+3x)=97 | | 15x-(2/3)y | | 3k=1612 | | x(x+1)=-3 | | 5r+40/15=2r-8/2 | | -79h+(-9h)= | | 5(y+8)=6y+40 | | -3(k+7)-(-4k+6)=-7 |

Equations solver categories