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37(4x+7)(6x-5)=180
We move all terms to the left:
37(4x+7)(6x-5)-(180)=0
We multiply parentheses ..
37(+24x^2-20x+42x-35)-180=0
We multiply parentheses
888x^2-740x+1554x-1295-180=0
We add all the numbers together, and all the variables
888x^2+814x-1475=0
a = 888; b = 814; c = -1475;
Δ = b2-4ac
Δ = 8142-4·888·(-1475)
Δ = 5901796
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{5901796}=\sqrt{4*1475449}=\sqrt{4}*\sqrt{1475449}=2\sqrt{1475449}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(814)-2\sqrt{1475449}}{2*888}=\frac{-814-2\sqrt{1475449}}{1776} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(814)+2\sqrt{1475449}}{2*888}=\frac{-814+2\sqrt{1475449}}{1776} $
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