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-9x^2+7x=-9
We move all terms to the left:
-9x^2+7x-(-9)=0
We add all the numbers together, and all the variables
-9x^2+7x+9=0
a = -9; b = 7; c = +9;
Δ = b2-4ac
Δ = 72-4·(-9)·9
Δ = 373
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{373}}{2*-9}=\frac{-7-\sqrt{373}}{-18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{373}}{2*-9}=\frac{-7+\sqrt{373}}{-18} $
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