# (7/3)t=84

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## Solution for (7/3)t=84 equation:

(7/3)t=84
We move all terms to the left:
(7/3)t-(84)=0

Domain of the equation: 3)t!=0
t!=0/1
t!=0
t∈R

We add all the numbers together, and all the variables
(+7/3)t-84=0
We multiply parentheses
7t^2-84=0
a = 7; b = 0; c = -84;Δ = b2-4acΔ = 02-4·7·(-84)Δ = 2352The delta value is higher than zero, so the equation has two solutionsWe use following formulas to calculate our solutions:$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$The end solution:
$\sqrt{\Delta}=\sqrt{2352}=\sqrt{784*3}=\sqrt{784}*\sqrt{3}=28\sqrt{3}$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{3}}{2*7}=\frac{0-28\sqrt{3}}{14} =-\frac{28\sqrt{3}}{14} =-2\sqrt{3}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{3}}{2*7}=\frac{0+28\sqrt{3}}{14} =\frac{28\sqrt{3}}{14} =2\sqrt{3}$

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