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-3x(-x+7)+5x=-21
We move all terms to the left:
-3x(-x+7)+5x-(-21)=0
We add all the numbers together, and all the variables
-3x(-1x+7)+5x-(-21)=0
We add all the numbers together, and all the variables
5x-3x(-1x+7)+21=0
We multiply parentheses
3x^2+5x-21x+21=0
We add all the numbers together, and all the variables
3x^2-16x+21=0
a = 3; b = -16; c = +21;
Δ = b2-4ac
Δ = -162-4·3·21
Δ = 4
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{4}=2$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-2}{2*3}=\frac{14}{6} =2+1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+2}{2*3}=\frac{18}{6} =3 $
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