5x+10=5(x+2)x=4

Solution for 5x+10=5(x+2)x=4 equation:

5x+10=5(x+2)x=4

We move all terms to the left:

5x+10-(5(x+2)x)=0


We calculate terms in parentheses: -(5(x+2)x), so:

5(x+2)x

We multiply parentheses

5x^2+10x

Back to the equation:

-(5x^2+10x)


We get rid of parentheses

-5x^2+5x-10x+10=0

We add all the numbers together, and all the variables

-5x^2-5x+10=0

a = -5; b = -5; c = +10;
Δ = b2-4ac
Δ = -52-4·(-5)·10
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-15}{2*-5}=\frac{-10}{-10}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+15}{2*-5}=\frac{20}{-10}
=-2
$