2x(x+7)=-(3x+)

Solution for 2x(x+7)=-(3x+) equation:

2x(x+7)=-(3x+)

We move all terms to the left:

2x(x+7)-(-(3x+))=0

We add all the numbers together, and all the variables

2x(x+7)-(-(+3x))=0

We multiply parentheses

2x^2+14x-(-(+3x))=0


We calculate terms in parentheses: -(-(+3x)), so:

-(+3x)

We get rid of parentheses

-3x

Back to the equation:

-(-3x)


We get rid of parentheses

2x^2+14x+3x=0

We add all the numbers together, and all the variables

2x^2+17x=0

a = 2; b = 17; c = 0;
Δ = b2-4ac
Δ = 172-4·2·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-17}{2*2}=\frac{-34}{4}
=-8+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+17}{2*2}=\frac{0}{4}
=0
$