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3x(5x+7)-3x(5-7x)=0
We add all the numbers together, and all the variables
3x(5x+7)-3x(-7x+5)=0
We multiply parentheses
15x^2+21x^2+21x-15x=0
We add all the numbers together, and all the variables
36x^2+6x=0
a = 36; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·36·0
Δ = 36
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{36}=6$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*36}=\frac{-12}{72} =-1/6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*36}=\frac{0}{72} =0 $
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