2*(22/7)*x=154

Solution for 2*(22/7)*x=154 equation:

2(22/7)*x=154

We move all terms to the left:

2(22/7)*x-(154)=0


Domain of the equation: 7)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2(+22/7)*x-154=0

We multiply parentheses

44x^2-154=0

a = 44; b = 0; c = -154;
Δ = b2-4ac
Δ = 02-4·44·(-154)
Δ = 27104
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:

$\sqrt{\Delta}=\sqrt{27104}=\sqrt{1936*14}=\sqrt{1936}*\sqrt{14}=44\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44\sqrt{14}}{2*44}=\frac{0-44\sqrt{14}}{88}
=-\frac{44\sqrt{14}}{88}
=-\frac{\sqrt{14}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44\sqrt{14}}{2*44}=\frac{0+44\sqrt{14}}{88}
=\frac{44\sqrt{14}}{88}
=\frac{\sqrt{14}}{2}
$