50x^2+5x-3=(5x-1)

Solution for 50x^2+5x-3=(5x-1) equation:

50x^2+5x-3=(5x-1)

We move all terms to the left:

50x^2+5x-3-((5x-1))=0


We calculate terms in parentheses: -((5x-1)), so:

(5x-1)

We get rid of parentheses

5x-1

Back to the equation:

-(5x-1)


We get rid of parentheses

50x^2+5x-5x+1-3=0

We add all the numbers together, and all the variables

50x^2-2=0

a = 50; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·50·(-2)
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*50}=\frac{-20}{100}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*50}=\frac{20}{100}
=1/5
$