x*(35/100)=30

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Solution for x*(35/100)=30 equation:



x(35/100)=30
We move all terms to the left:
x(35/100)-(30)=0
We add all the numbers together, and all the variables
x(+35/100)-30=0
We multiply parentheses
35x^2-30=0
a = 35; b = 0; c = -30;
Δ = b2-4ac
Δ = 02-4·35·(-30)
Δ = 4200
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:
$\sqrt{\Delta}=\sqrt{4200}=\sqrt{100*42}=\sqrt{100}*\sqrt{42}=10\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{42}}{2*35}=\frac{0-10\sqrt{42}}{70} =-\frac{10\sqrt{42}}{70} =-\frac{\sqrt{42}}{7} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{42}}{2*35}=\frac{0+10\sqrt{42}}{70} =\frac{10\sqrt{42}}{70} =\frac{\sqrt{42}}{7} $

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