(7/4)(x)-2=4/56

Solution for (7/4)(x)-2=4/56 equation:

(7/4)(x)-2=4/56

We move all terms to the left:

(7/4)(x)-2-(4/56)=0


Domain of the equation: 4)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+7/4)x-2-(+4/56)=0

We multiply parentheses

7x^2-2-(+4/56)=0

We get rid of parentheses

7x^2-2-4/56=0

We multiply all the terms by the denominator


7x^2*56-4-2*56=0

We add all the numbers together, and all the variables

7x^2*56-116=0

Wy multiply elements

392x^2-116=0

a = 392; b = 0; c = -116;
Δ = b2-4ac
Δ = 02-4·392·(-116)
Δ = 181888
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{181888}=\sqrt{3136*58}=\sqrt{3136}*\sqrt{58}=56\sqrt{58}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-56\sqrt{58}}{2*392}=\frac{0-56\sqrt{58}}{784}
=-\frac{56\sqrt{58}}{784}
=-\frac{\sqrt{58}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+56\sqrt{58}}{2*392}=\frac{0+56\sqrt{58}}{784}
=\frac{56\sqrt{58}}{784}
=\frac{\sqrt{58}}{14}
$