x*(5/100)+x=1148.90

Solution for x*(5/100)+x=1148.90 equation:

x(5/100)+x=1148.90

We move all terms to the left:

x(5/100)+x-(1148.90)=0

We add all the numbers together, and all the variables

x(+5/100)+x-(1148.9)=0

We add all the numbers together, and all the variables

x+x(+5/100)-1148.9=0

We multiply parentheses

5x^2+x-1148.9=0

a = 5; b = 1; c = -1148.9;
Δ = b2-4ac
Δ = 12-4·5·(-1148.9)
Δ = 22979
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{22979}}{2*5}=\frac{-1-\sqrt{22979}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{22979}}{2*5}=\frac{-1+\sqrt{22979}}{10}
$