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88x+24x^2+84x=0
We add all the numbers together, and all the variables
24x^2+172x=0
a = 24; b = 172; c = 0;
Δ = b2-4ac
Δ = 1722-4·24·0
Δ = 29584
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{29584}=172$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(172)-172}{2*24}=\frac{-344}{48} =-7+1/6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(172)+172}{2*24}=\frac{0}{48} =0 $
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