(7x+9=14)x2

Solution for (7x+9=14)x2 equation:

(7x+9=14)x2

We move all terms to the left:

(7x+9-(14)x2)=0

We add all the numbers together, and all the variables

(+7x-14x^2+9)=0

We get rid of parentheses

-14x^2+7x+9=0

a = -14; b = 7; c = +9;
Δ = b2-4ac
Δ = 72-4·(-14)·9
Δ = 553
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{553}}{2*-14}=\frac{-7-\sqrt{553}}{-28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{553}}{2*-14}=\frac{-7+\sqrt{553}}{-28}
$