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(5x-1)(3-2x)=0
We add all the numbers together, and all the variables
(5x-1)(-2x+3)=0
We multiply parentheses ..
(-10x^2+15x+2x-3)=0
We get rid of parentheses
-10x^2+15x+2x-3=0
We add all the numbers together, and all the variables
-10x^2+17x-3=0
a = -10; b = 17; c = -3;
Δ = b2-4ac
Δ = 172-4·(-10)·(-3)
Δ = 169
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{169}=13$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-13}{2*-10}=\frac{-30}{-20} =1+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+13}{2*-10}=\frac{-4}{-20} =1/5 $
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