9x^2=7-7x

Solution for 9x^2=7-7x equation:

9x^2=7-7x

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We get rid of parentheses

9x^2+7x-7=0

a = 9; b = 7; c = -7;
Δ = b2-4ac
Δ = 72-4·9·(-7)
Δ = 301
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{301}}{2*9}=\frac{-7-\sqrt{301}}{18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{301}}{2*9}=\frac{-7+\sqrt{301}}{18}
$