0.5t*(8-t)=0.5t*t

Simple and best practice solution for 0.5t*(8-t)=0.5t*t 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 0.5t*(8-t)=0.5t*t equation: 


Simplifying
0.5t(8 + -1t) = 0.5t * t
(8 * 0.5t + -1t * 0.5t) = 0.5t * t
(4t + -0.5t2) = 0.5t * t

Multiply t * t
4t + -0.5t2 = 0.5t2

Solving
4t + -0.5t2 = 0.5t2

Solving for variable 't'.

Combine like terms: -0.5t2 + -0.5t2 = -1t2
4t + -1t2 = 0.5t2 + -0.5t2

Combine like terms: 0.5t2 + -0.5t2 = 0.0
4t + -1t2 = 0.0

Factor out the Greatest Common Factor (GCF), 't'.
t(4 + -1t) = 0.0


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 '(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, 4}

See similar equations:

| 6(x-1)=3(5y-2) | | 6-(-5+4i)=(-13-i) | | 2z+5=15 | | 0.5t*t=0.5t*(8-t) | | 4x+2-3x=14-6x | | 5=4x+2-x | | 10(x+20)=70 | | 14x-7x^2=0 | | 15y-6x=0 | | (3+2i)=(5-7i) | | -12720+20=6000 | | 5-3a=-10 | | -12720+20=600 | | 2p+1.71+2.1=2.20 | | 4p-4=-2p+4 | | 7=-5+v | | 12=-7+d | | 4p-4=2p+4 | | 9p-11=-3+7 | | 30=6f | | 2|x-5|-3=15 | | 9p-11=-3p+7 | | 2w^2+11w+21=(w+7)2 | | 9p-11=-3 | | |3x-2|=24 | | -44=4k | | 9p-11=3p+7 | | 16n+21=12n-15 | | 5v^2+v-4=0 | | 4=-5+r | | (3x-1)*(2x+7)-(x+1)*(6x-5)=16 | | 11=9y-4y-4 |

Equations solver categories