4.9(x+21)(x+18)=0

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Solution for 4.9(x+21)(x+18)=0 equation: 



4.9(x+21)(x+18)=0

We multiply parentheses ..

4.9(+x^2+18x+21x+378)=0

We multiply parentheses

4.9x^2+88.2x+102.9x+1852.2=0

We add all the numbers together, and all the variables

4.9x^2+191.1x+1852.2=0

a = 4.9; b = 191.1; c = +1852.2;
Δ = b2-4ac
Δ = 191.12-4·4.9·1852.2
Δ = 216.09
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(191.1)-\sqrt{216.09}}{2*4.9}=\frac{-191.1-\sqrt{216.09}}{9.8}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(191.1)+\sqrt{216.09}}{2*4.9}=\frac{-191.1+\sqrt{216.09}}{9.8}
$

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