(4u-3)(1+u)=0

Solution for (4u-3)(1+u)=0 equation:

(4u-3)(1+u)=0

We add all the numbers together, and all the variables

(4u-3)(u+1)=0

We multiply parentheses ..

(+4u^2+4u-3u-3)=0

We get rid of parentheses

4u^2+4u-3u-3=0

We add all the numbers together, and all the variables

4u^2+u-3=0

a = 4; b = 1; c = -3;
Δ = b2-4ac
Δ = 12-4·4·(-3)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-7}{2*4}=\frac{-8}{8}
=-1
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+7}{2*4}=\frac{6}{8}
=3/4
$