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(x-6)(7x+4)=0
We multiply parentheses ..
(+7x^2+4x-42x-24)=0
We get rid of parentheses
7x^2+4x-42x-24=0
We add all the numbers together, and all the variables
7x^2-38x-24=0
a = 7; b = -38; c = -24;
Δ = b2-4ac
Δ = -382-4·7·(-24)
Δ = 2116
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{2116}=46$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-38)-46}{2*7}=\frac{-8}{14} =-4/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38)+46}{2*7}=\frac{84}{14} =6 $
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