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(3x-13)(7x+18)=0
We multiply parentheses ..
(+21x^2+54x-91x-234)=0
We get rid of parentheses
21x^2+54x-91x-234=0
We add all the numbers together, and all the variables
21x^2-37x-234=0
a = 21; b = -37; c = -234;
Δ = b2-4ac
Δ = -372-4·21·(-234)
Δ = 21025
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{21025}=145$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-145}{2*21}=\frac{-108}{42} =-2+4/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+145}{2*21}=\frac{182}{42} =4+1/3 $
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