x+x(3/100)=1451

Solution for x+x(3/100)=1451 equation:

x+x(3/100)=1451

We move all terms to the left:

x+x(3/100)-(1451)=0

We add all the numbers together, and all the variables

x+x(+3/100)-1451=0

We multiply parentheses

3x^2+x-1451=0

a = 3; b = 1; c = -1451;
Δ = b2-4ac
Δ = 12-4·3·(-1451)
Δ = 17413
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{17413}}{2*3}=\frac{-1-\sqrt{17413}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{17413}}{2*3}=\frac{-1+\sqrt{17413}}{6}
$