5x(10x+5)=(6x+5x)

Solution for 5x(10x+5)=(6x+5x) equation:

5x(10x+5)=(6x+5x)

We move all terms to the left:

5x(10x+5)-((6x+5x))=0

We add all the numbers together, and all the variables

5x(10x+5)-((+11x))=0

We multiply parentheses

50x^2+25x-((+11x))=0


We calculate terms in parentheses: -((+11x)), so:

(+11x)

We get rid of parentheses

11x

Back to the equation:

-(11x)


We add all the numbers together, and all the variables

50x^2+14x=0

a = 50; b = 14; c = 0;
Δ = b2-4ac
Δ = 142-4·50·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-14}{2*50}=\frac{-28}{100}
=-7/25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+14}{2*50}=\frac{0}{100}
=0
$