(5x-9)*(6x+7)=

Solution for (5x-9)*(6x+7)= equation:

(5x-9)(6x+7)=

We move all terms to the left:

(5x-9)(6x+7)-()=0

We add all the numbers together, and all the variables

(5x-9)(6x+7)=0

We multiply parentheses ..

(+30x^2+35x-54x-63)=0

We get rid of parentheses

30x^2+35x-54x-63=0

We add all the numbers together, and all the variables

30x^2-19x-63=0

a = 30; b = -19; c = -63;
Δ = b2-4ac
Δ = -192-4·30·(-63)
Δ = 7921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7921}=89$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19)-89}{2*30}=\frac{-70}{60}
=-1+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19)+89}{2*30}=\frac{108}{60}
=1+4/5
$