7x-(9x2)=5x(-6)

Solution for 7x-(9x2)=5x(-6) equation:

7x-(9x^2)=5x(-6)

We move all terms to the left:

7x-(9x^2)-(5x(-6))=0

determiningTheFunctionDomain
-9x^2+7x-(5x(-6))=0


We calculate terms in parentheses: -(5x(-6)), so:

5x(-6)

We multiply parentheses

-30x

Back to the equation:

-(-30x)


We get rid of parentheses

-9x^2+7x+30x=0

We add all the numbers together, and all the variables

-9x^2+37x=0

a = -9; b = 37; c = 0;
Δ = b2-4ac
Δ = 372-4·(-9)·0
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-37}{2*-9}=\frac{-74}{-18}
=4+1/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+37}{2*-9}=\frac{0}{-18}
=0
$