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3(x+7)(3x-2)=0
We multiply parentheses ..
3(+3x^2-2x+21x-14)=0
We multiply parentheses
9x^2-6x+63x-42=0
We add all the numbers together, and all the variables
9x^2+57x-42=0
a = 9; b = 57; c = -42;
Δ = b2-4ac
Δ = 572-4·9·(-42)
Δ = 4761
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{4761}=69$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(57)-69}{2*9}=\frac{-126}{18} =-7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(57)+69}{2*9}=\frac{12}{18} =2/3 $
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