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-2x(-6-7x)+5x=15
We move all terms to the left:
-2x(-6-7x)+5x-(15)=0
We add all the numbers together, and all the variables
-2x(-7x-6)+5x-15=0
We add all the numbers together, and all the variables
5x-2x(-7x-6)-15=0
We multiply parentheses
14x^2+5x+12x-15=0
We add all the numbers together, and all the variables
14x^2+17x-15=0
a = 14; b = 17; c = -15;
Δ = b2-4ac
Δ = 172-4·14·(-15)
Δ = 1129
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-\sqrt{1129}}{2*14}=\frac{-17-\sqrt{1129}}{28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{1129}}{2*14}=\frac{-17+\sqrt{1129}}{28} $
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