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(45-0.2x)(x-8)=0
We add all the numbers together, and all the variables
(-0.2x+45)(x-8)=0
We multiply parentheses ..
(+0x^2+0x+45x-360)=0
We get rid of parentheses
0x^2+0x+45x-360=0
We add all the numbers together, and all the variables
x^2+46x-360=0
a = 1; b = 46; c = -360;
Δ = b2-4ac
Δ = 462-4·1·(-360)
Δ = 3556
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3556}=\sqrt{4*889}=\sqrt{4}*\sqrt{889}=2\sqrt{889}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(46)-2\sqrt{889}}{2*1}=\frac{-46-2\sqrt{889}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(46)+2\sqrt{889}}{2*1}=\frac{-46+2\sqrt{889}}{2} $
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