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(8x+11)(7x+14)=180

We move all terms to the left:

(8x+11)(7x+14)-(180)=0

We multiply parentheses ..

(+56x^2+112x+77x+154)-180=0

We get rid of parentheses

56x^2+112x+77x+154-180=0

We add all the numbers together, and all the variables

56x^2+189x-26=0

a = 56; b = 189; c = -26;

Δ = b^{2}-4ac

Δ = 189^{2}-4·56·(-26)

Δ = 41545

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{-(189)-\sqrt{41545}}{2*56}=\frac{-189-\sqrt{41545}}{112} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(189)+\sqrt{41545}}{2*56}=\frac{-189+\sqrt{41545}}{112} $

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