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(9x+4)(16x-4)+80=90
We move all terms to the left:
(9x+4)(16x-4)+80-(90)=0
We add all the numbers together, and all the variables
(9x+4)(16x-4)-10=0
We multiply parentheses ..
(+144x^2-36x+64x-16)-10=0
We get rid of parentheses
144x^2-36x+64x-16-10=0
We add all the numbers together, and all the variables
144x^2+28x-26=0
a = 144; b = 28; c = -26;
Δ = b2-4ac
Δ = 282-4·144·(-26)
Δ = 15760
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{15760}=\sqrt{16*985}=\sqrt{16}*\sqrt{985}=4\sqrt{985}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-4\sqrt{985}}{2*144}=\frac{-28-4\sqrt{985}}{288} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+4\sqrt{985}}{2*144}=\frac{-28+4\sqrt{985}}{288} $
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