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-7x^2+9x+9=8x^2+1
We move all terms to the left:
-7x^2+9x+9-(8x^2+1)=0
We get rid of parentheses
-7x^2-8x^2+9x-1+9=0
We add all the numbers together, and all the variables
-15x^2+9x+8=0
a = -15; b = 9; c = +8;
Δ = b2-4ac
Δ = 92-4·(-15)·8
Δ = 561
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{-(9)-\sqrt{561}}{2*-15}=\frac{-9-\sqrt{561}}{-30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{561}}{2*-15}=\frac{-9+\sqrt{561}}{-30} $
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