5(u-7)(-u+6)=0

Solution for 5(u-7)(-u+6)=0 equation:

5(u-7)(-u+6)=0

We add all the numbers together, and all the variables

5(u-7)(-1u+6)=0

We multiply parentheses ..

5(-1u^2+6u+7u-42)=0

We multiply parentheses

-5u^2+30u+35u-210=0

We add all the numbers together, and all the variables

-5u^2+65u-210=0

a = -5; b = 65; c = -210;
Δ = b2-4ac
Δ = 652-4·(-5)·(-210)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(65)-5}{2*-5}=\frac{-70}{-10}
=+7
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(65)+5}{2*-5}=\frac{-60}{-10}
=+6
$