50x2+15x-2=(5x+2)

Solution for 50x2+15x-2=(5x+2) equation:

50x^2+15x-2=(5x+2)

We move all terms to the left:

50x^2+15x-2-((5x+2))=0


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

(5x+2)

We get rid of parentheses

5x+2

Back to the equation:

-(5x+2)


We get rid of parentheses

50x^2+15x-5x-2-2=0

We add all the numbers together, and all the variables

50x^2+10x-4=0

a = 50; b = 10; c = -4;
Δ = b2-4ac
Δ = 102-4·50·(-4)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-30}{2*50}=\frac{-40}{100}
=-2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+30}{2*50}=\frac{20}{100}
=1/5
$