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(28-4x)(40000+10000x)+4(40000+10000x)=0
We add all the numbers together, and all the variables
(-4x+28)(10000x+40000)+4(10000x+40000)=0
We multiply parentheses
(-4x+28)(10000x+40000)+40000x+160000=0
We multiply parentheses ..
(-40000x^2-160000x+280000x+1120000)+40000x+160000=0
We get rid of parentheses
-40000x^2-160000x+280000x+40000x+1120000+160000=0
We add all the numbers together, and all the variables
-40000x^2+160000x+1280000=0
a = -40000; b = 160000; c = +1280000;
Δ = b2-4ac
Δ = 1600002-4·(-40000)·1280000
Δ = 230400000000
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{230400000000}=480000$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(160000)-480000}{2*-40000}=\frac{-640000}{-80000} =+8 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(160000)+480000}{2*-40000}=\frac{320000}{-80000} =-4 $
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