4x(3=4)5x

Solution for 4x(3=4)5x equation:

4x(3=4)5x

We move all terms to the left:

4x(3-(4)5x)=0

We add all the numbers together, and all the variables

4x(-45x+3)=0

We multiply parentheses

-180x^2+12x=0

a = -180; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-180)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-180}=\frac{-24}{-360}
=1/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-180}=\frac{0}{-360}
=0
$