65/100*x=1400

Solution for 65/100*x=1400 equation:

65/100*x=1400

We move all terms to the left:

65/100*x-(1400)=0


Domain of the equation: 100*x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


-1400*100*x+65=0

Wy multiply elements

-140000x*x+65=0

Wy multiply elements

-140000x^2+65=0

a = -140000; b = 0; c = +65;
Δ = b2-4ac
Δ = 02-4·(-140000)·65
Δ = 36400000
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:

$\sqrt{\Delta}=\sqrt{36400000}=\sqrt{40000*910}=\sqrt{40000}*\sqrt{910}=200\sqrt{910}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{910}}{2*-140000}=\frac{0-200\sqrt{910}}{-280000}
=-\frac{200\sqrt{910}}{-280000}
=-\frac{\sqrt{910}}{-1400}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{910}}{2*-140000}=\frac{0+200\sqrt{910}}{-280000}
=\frac{200\sqrt{910}}{-280000}
=\frac{\sqrt{910}}{-1400}
$