5x*7x+6=-2(x-3)

Solution for 5x*7x+6=-2(x-3) equation:

5x*7x+6=-2(x-3)

We move all terms to the left:

5x*7x+6-(-2(x-3))=0

Wy multiply elements

35x^2-(-2(x-3))+6=0


We calculate terms in parentheses: -(-2(x-3)), so:

-2(x-3)

We multiply parentheses

-2x+6

Back to the equation:

-(-2x+6)


We get rid of parentheses

35x^2+2x-6+6=0

We add all the numbers together, and all the variables

35x^2+2x=0

a = 35; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·35·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*35}=\frac{-4}{70}
=-2/35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*35}=\frac{0}{70}
=0
$