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-2x(-6-7x)+5x=145
We move all terms to the left:
-2x(-6-7x)+5x-(145)=0
We add all the numbers together, and all the variables
-2x(-7x-6)+5x-145=0
We add all the numbers together, and all the variables
5x-2x(-7x-6)-145=0
We multiply parentheses
14x^2+5x+12x-145=0
We add all the numbers together, and all the variables
14x^2+17x-145=0
a = 14; b = 17; c = -145;
Δ = b2-4ac
Δ = 172-4·14·(-145)
Δ = 8409
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{8409}}{2*14}=\frac{-17-\sqrt{8409}}{28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{8409}}{2*14}=\frac{-17+\sqrt{8409}}{28} $
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