x(x*0.07)=34.24

Solution for x(x*0.07)=34.24 equation:

x(x*0.07)=34.24

We move all terms to the left:

x(x*0.07)-(34.24)=0

We add all the numbers together, and all the variables

x(+x*0.07)-(34.24)=0

We add all the numbers together, and all the variables

x(+x*0.07)-34.24=0

We multiply parentheses

0.07x^2-34.24=0

a = 0.07; b = 0; c = -34.24;
Δ = b2-4ac
Δ = 02-4·0.07·(-34.24)
Δ = 9.5872
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{-(0)-\sqrt{9.5872}}{2*0.07}=\frac{0-\sqrt{9.5872}}{0.14}
=-\frac{\sqrt{}}{0.14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{9.5872}}{2*0.07}=\frac{0+\sqrt{9.5872}}{0.14}
=\frac{\sqrt{}}{0.14}
$