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3x^2+5x=5x-8x
We move all terms to the left:
3x^2+5x-(5x-8x)=0
We add all the numbers together, and all the variables
3x^2+5x-(-3x)=0
We get rid of parentheses
3x^2+5x+3x=0
We add all the numbers together, and all the variables
3x^2+8x=0
a = 3; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·3·0
Δ = 64
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{64}=8$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*3}=\frac{-16}{6} =-2+2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*3}=\frac{0}{6} =0 $
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