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7x=3x*3x
We move all terms to the left:
7x-(3x*3x)=0
We add all the numbers together, and all the variables
7x-(+3x*3x)=0
We get rid of parentheses
7x-3x*3x=0
Wy multiply elements
-9x^2+7x=0
a = -9; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·(-9)·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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*-9}=\frac{-14}{-18} =7/9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*-9}=\frac{0}{-18} =0 $
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