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(7x-16)(x+17)+115=180
We move all terms to the left:
(7x-16)(x+17)+115-(180)=0
We add all the numbers together, and all the variables
(7x-16)(x+17)-65=0
We multiply parentheses ..
(+7x^2+119x-16x-272)-65=0
We get rid of parentheses
7x^2+119x-16x-272-65=0
We add all the numbers together, and all the variables
7x^2+103x-337=0
a = 7; b = 103; c = -337;
Δ = b2-4ac
Δ = 1032-4·7·(-337)
Δ = 20045
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{-(103)-\sqrt{20045}}{2*7}=\frac{-103-\sqrt{20045}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(103)+\sqrt{20045}}{2*7}=\frac{-103+\sqrt{20045}}{14} $
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