2x2/7=67

Solution for 2x2/7=67 equation:

2x^2/7=67

We move all terms to the left:

2x^2/7-(67)=0

We multiply all the terms by the denominator


2x^2-67*7=0

We add all the numbers together, and all the variables

2x^2-469=0

a = 2; b = 0; c = -469;
Δ = b2-4ac
Δ = 02-4·2·(-469)
Δ = 3752
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:

$\sqrt{\Delta}=\sqrt{3752}=\sqrt{4*938}=\sqrt{4}*\sqrt{938}=2\sqrt{938}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{938}}{2*2}=\frac{0-2\sqrt{938}}{4}
=-\frac{2\sqrt{938}}{4}
=-\frac{\sqrt{938}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{938}}{2*2}=\frac{0+2\sqrt{938}}{4}
=\frac{2\sqrt{938}}{4}
=\frac{\sqrt{938}}{2}
$