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(2.5x+76.5)(12x-9)=28.4
We move all terms to the left:
(2.5x+76.5)(12x-9)-(28.4)=0
We add all the numbers together, and all the variables
(2.5x+76.5)(12x-9)-28.4=0
We multiply parentheses ..
(+24x^2-18x+918x-688.5)-28.4=0
We get rid of parentheses
24x^2-18x+918x-688.5-28.4=0
We add all the numbers together, and all the variables
24x^2+900x-716.9=0
a = 24; b = 900; c = -716.9;
Δ = b2-4ac
Δ = 9002-4·24·(-716.9)
Δ = 878822.4
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{-(900)-\sqrt{878822.4}}{2*24}=\frac{-900-\sqrt{878822.4}}{48} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(900)+\sqrt{878822.4}}{2*24}=\frac{-900+\sqrt{878822.4}}{48} $
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