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(8x+9)(x+1)=30
We move all terms to the left:
(8x+9)(x+1)-(30)=0
We multiply parentheses ..
(+8x^2+8x+9x+9)-30=0
We get rid of parentheses
8x^2+8x+9x+9-30=0
We add all the numbers together, and all the variables
8x^2+17x-21=0
a = 8; b = 17; c = -21;
Δ = b2-4ac
Δ = 172-4·8·(-21)
Δ = 961
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{961}=31$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-31}{2*8}=\frac{-48}{16} =-3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+31}{2*8}=\frac{14}{16} =7/8 $
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