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4x-7x(x+3)=-36
We move all terms to the left:
4x-7x(x+3)-(-36)=0
We add all the numbers together, and all the variables
4x-7x(x+3)+36=0
We multiply parentheses
-7x^2+4x-21x+36=0
We add all the numbers together, and all the variables
-7x^2-17x+36=0
a = -7; b = -17; c = +36;
Δ = b2-4ac
Δ = -172-4·(-7)·36
Δ = 1297
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{1297}}{2*-7}=\frac{17-\sqrt{1297}}{-14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{1297}}{2*-7}=\frac{17+\sqrt{1297}}{-14} $
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