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7(5x^2+26x-24)=0
We multiply parentheses
35x^2+182x-168=0
a = 35; b = 182; c = -168;
Δ = b2-4ac
Δ = 1822-4·35·(-168)
Δ = 56644
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{56644}=238$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(182)-238}{2*35}=\frac{-420}{70} =-6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(182)+238}{2*35}=\frac{56}{70} =4/5 $
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