(4x+7)(1-2x)=0

Solution for (4x+7)(1-2x)=0 equation:

(4x+7)(1-2x)=0

We add all the numbers together, and all the variables

(4x+7)(-2x+1)=0

We multiply parentheses ..

(-8x^2+4x-14x+7)=0

We get rid of parentheses

-8x^2+4x-14x+7=0

We add all the numbers together, and all the variables

-8x^2-10x+7=0

a = -8; b = -10; c = +7;
Δ = b2-4ac
Δ = -102-4·(-8)·7
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-18}{2*-8}=\frac{-8}{-16}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+18}{2*-8}=\frac{28}{-16}
=-1+3/4
$