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-13x(-12x-13)=49-4x
We move all terms to the left:
-13x(-12x-13)-(49-4x)=0
We add all the numbers together, and all the variables
-13x(-12x-13)-(-4x+49)=0
We multiply parentheses
156x^2+169x-(-4x+49)=0
We get rid of parentheses
156x^2+169x+4x-49=0
We add all the numbers together, and all the variables
156x^2+173x-49=0
a = 156; b = 173; c = -49;
Δ = b2-4ac
Δ = 1732-4·156·(-49)
Δ = 60505
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{-(173)-\sqrt{60505}}{2*156}=\frac{-173-\sqrt{60505}}{312} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(173)+\sqrt{60505}}{2*156}=\frac{-173+\sqrt{60505}}{312} $
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