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

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

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

We move all terms to the left:

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

determiningTheFunctionDomain
2x(x+3)+x-15-21=0

We add all the numbers together, and all the variables

x+2x(x+3)-36=0

We multiply parentheses

2x^2+x+6x-36=0

We add all the numbers together, and all the variables

2x^2+7x-36=0

a = 2; b = 7; c = -36;
Δ = b2-4ac
Δ = 72-4·2·(-36)
Δ = 337
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{-(7)-\sqrt{337}}{2*2}=\frac{-7-\sqrt{337}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{337}}{2*2}=\frac{-7+\sqrt{337}}{4}
$