28x+5x2=30+3x

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Solution for 28x+5x2=30+3x equation:



28x+5x^2=30+3x
We move all terms to the left:
28x+5x^2-(30+3x)=0
We add all the numbers together, and all the variables
5x^2+28x-(3x+30)=0
We get rid of parentheses
5x^2+28x-3x-30=0
We add all the numbers together, and all the variables
5x^2+25x-30=0
a = 5; b = 25; c = -30;
Δ = b2-4ac
Δ = 252-4·5·(-30)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-35}{2*5}=\frac{-60}{10} =-6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+35}{2*5}=\frac{10}{10} =1 $

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