5(7x+5)x=10

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Solution for 5(7x+5)x=10 equation:



5(7x+5)x=10
We move all terms to the left:
5(7x+5)x-(10)=0
We multiply parentheses
35x^2+25x-10=0
a = 35; b = 25; c = -10;
Δ = b2-4ac
Δ = 252-4·35·(-10)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-45}{2*35}=\frac{-70}{70} =-1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+45}{2*35}=\frac{20}{70} =2/7 $

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