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(5x+4)(7x+-6)=0
We add all the numbers together, and all the variables
(5x+4)(7x-6)=0
We multiply parentheses ..
(+35x^2-30x+28x-24)=0
We get rid of parentheses
35x^2-30x+28x-24=0
We add all the numbers together, and all the variables
35x^2-2x-24=0
a = 35; b = -2; c = -24;
Δ = b2-4ac
Δ = -22-4·35·(-24)
Δ = 3364
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{3364}=58$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-58}{2*35}=\frac{-56}{70} =-4/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+58}{2*35}=\frac{60}{70} =6/7 $
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