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(5x-6)3x+90=180
We move all terms to the left:
(5x-6)3x+90-(180)=0
We add all the numbers together, and all the variables
(5x-6)3x-90=0
We multiply parentheses
15x^2-18x-90=0
a = 15; b = -18; c = -90;
Δ = b2-4ac
Δ = -182-4·15·(-90)
Δ = 5724
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{5724}=\sqrt{36*159}=\sqrt{36}*\sqrt{159}=6\sqrt{159}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-6\sqrt{159}}{2*15}=\frac{18-6\sqrt{159}}{30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+6\sqrt{159}}{2*15}=\frac{18+6\sqrt{159}}{30} $
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