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(2-x)(5x+8)=0
We add all the numbers together, and all the variables
(-1x+2)(5x+8)=0
We multiply parentheses ..
(-5x^2-8x+10x+16)=0
We get rid of parentheses
-5x^2-8x+10x+16=0
We add all the numbers together, and all the variables
-5x^2+2x+16=0
a = -5; b = 2; c = +16;
Δ = b2-4ac
Δ = 22-4·(-5)·16
Δ = 324
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{324}=18$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-18}{2*-5}=\frac{-20}{-10} =+2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+18}{2*-5}=\frac{16}{-10} =-1+3/5 $
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