5(7x+5)x=10

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
$