(5x+3)(2x-1)=

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Solution for (5x+3)(2x-1)= equation:



(5x+3)(2x-1)=
We move all terms to the left:
(5x+3)(2x-1)-()=0
We add all the numbers together, and all the variables
(5x+3)(2x-1)=0
We multiply parentheses ..
(+10x^2-5x+6x-3)=0
We get rid of parentheses
10x^2-5x+6x-3=0
We add all the numbers together, and all the variables
10x^2+x-3=0
a = 10; b = 1; c = -3;
Δ = b2-4ac
Δ = 12-4·10·(-3)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-11}{2*10}=\frac{-12}{20} =-3/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+11}{2*10}=\frac{10}{20} =1/2 $

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