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(2+8x)(3.5x-280)=0
We add all the numbers together, and all the variables
(8x+2)(3.5x-280)=0
We multiply parentheses ..
(+24x^2-2240x+6x-560)=0
We get rid of parentheses
24x^2-2240x+6x-560=0
We add all the numbers together, and all the variables
24x^2-2234x-560=0
a = 24; b = -2234; c = -560;
Δ = b2-4ac
Δ = -22342-4·24·(-560)
Δ = 5044516
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{5044516}=2246$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2234)-2246}{2*24}=\frac{-12}{48} =-1/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2234)+2246}{2*24}=\frac{4480}{48} =93+1/3 $
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