(5x-2)2x+76+90=180

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Solution for (5x-2)2x+76+90=180 equation:



(5x-2)2x+76+90=180
We move all terms to the left:
(5x-2)2x+76+90-(180)=0
We add all the numbers together, and all the variables
(5x-2)2x-14=0
We multiply parentheses
10x^2-4x-14=0
a = 10; b = -4; c = -14;
Δ = b2-4ac
Δ = -42-4·10·(-14)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-24}{2*10}=\frac{-20}{20} =-1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+24}{2*10}=\frac{28}{20} =1+2/5 $

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