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7x^2-14x=-21x
We move all terms to the left:
7x^2-14x-(-21x)=0
We get rid of parentheses
7x^2-14x+21x=0
We add all the numbers together, and all the variables
7x^2+7x=0
a = 7; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·7·0
Δ = 49
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{49}=7$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*7}=\frac{-14}{14} =-1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*7}=\frac{0}{14} =0 $
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