(2x+30)(2x+80)=0

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Solution for (2x+30)(2x+80)=0 equation:



(2x+30)(2x+80)=0
We multiply parentheses ..
(+4x^2+160x+60x+2400)=0
We get rid of parentheses
4x^2+160x+60x+2400=0
We add all the numbers together, and all the variables
4x^2+220x+2400=0
a = 4; b = 220; c = +2400;
Δ = b2-4ac
Δ = 2202-4·4·2400
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(220)-100}{2*4}=\frac{-320}{8} =-40 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(220)+100}{2*4}=\frac{-120}{8} =-15 $

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