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3x+6x*x=5x-x*x
We move all terms to the left:
3x+6x*x-(5x-x*x)=0
We add all the numbers together, and all the variables
3x+6x*x-(+5x-x*x)=0
Wy multiply elements
6x^2+3x-(+5x-x*x)=0
We get rid of parentheses
6x^2+3x-5x+x*x=0
We add all the numbers together, and all the variables
6x^2-2x+x*x=0
Wy multiply elements
6x^2+x^2-2x=0
We add all the numbers together, and all the variables
7x^2-2x=0
a = 7; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·7·0
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*7}=\frac{0}{14} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*7}=\frac{4}{14} =2/7 $
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