2x+4-5x(x=5)

Solution for 2x+4-5x(x=5) equation:

2x+4-5x(x=5)

We move all terms to the left:

2x+4-5x(x-(5))=0

We multiply parentheses

-5x^2+2x+25x+4=0

We add all the numbers together, and all the variables

-5x^2+27x+4=0

a = -5; b = 27; c = +4;
Δ = b2-4ac
Δ = 272-4·(-5)·4
Δ = 809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(27)-\sqrt{809}}{2*-5}=\frac{-27-\sqrt{809}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+\sqrt{809}}{2*-5}=\frac{-27+\sqrt{809}}{-10}
$