-1,2(t+9)+5,3,5t=3/8t

Solution for -1,2(t+9)+5,3,5t=3/8t equation:

-1.2(t+9)+5.3.5t=3/8t

We move all terms to the left:

-1.2(t+9)+5.3.5t-(3/8t)=0


Domain of the equation: 8t)!=0

t!=0/1

t!=0

t∈R


We add all the numbers together, and all the variables

-1.2(t+9)+5.3.5t-(+3/8t)=0

We add all the numbers together, and all the variables

2.65t-1.2(t+9)-(+3/8t)=0

We multiply parentheses

2.65t-1.2t-(+3/8t)-10.8=0

We get rid of parentheses

2.65t-1.2t-3/8t-10.8=0

We multiply all the terms by the denominator


(2.65t)*8t-(1.2t)*8t-(10.8)*8t-3=0

We add all the numbers together, and all the variables

(+2.65t)*8t-(+1.2t)*8t-(10.8)*8t-3=0

We multiply parentheses

16t^2-8t^2-86.4t-3=0

We add all the numbers together, and all the variables

8t^2-86.4t-3=0

a = 8; b = -86.4; c = -3;
Δ = b2-4ac
Δ = -86.42-4·8·(-3)
Δ = 7560.96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-86.4)-\sqrt{7560.96}}{2*8}=\frac{86.4-\sqrt{7560.96}}{16}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-86.4)+\sqrt{7560.96}}{2*8}=\frac{86.4+\sqrt{7560.96}}{16}
$