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3(2x-3)(5x+7)=0
We multiply parentheses ..
3(+10x^2+14x-15x-21)=0
We multiply parentheses
30x^2+42x-45x-63=0
We add all the numbers together, and all the variables
30x^2-3x-63=0
a = 30; b = -3; c = -63;
Δ = b2-4ac
Δ = -32-4·30·(-63)
Δ = 7569
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{7569}=87$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-87}{2*30}=\frac{-84}{60} =-1+2/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+87}{2*30}=\frac{90}{60} =1+1/2 $
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