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(9x+4)4x-7=180
We move all terms to the left:
(9x+4)4x-7-(180)=0
We add all the numbers together, and all the variables
(9x+4)4x-187=0
We multiply parentheses
36x^2+16x-187=0
a = 36; b = 16; c = -187;
Δ = b2-4ac
Δ = 162-4·36·(-187)
Δ = 27184
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{27184}=\sqrt{16*1699}=\sqrt{16}*\sqrt{1699}=4\sqrt{1699}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-4\sqrt{1699}}{2*36}=\frac{-16-4\sqrt{1699}}{72} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+4\sqrt{1699}}{2*36}=\frac{-16+4\sqrt{1699}}{72} $
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