5x(x+8)=10x

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Solution for 5x(x+8)=10x equation:



5x(x+8)=10x
We move all terms to the left:
5x(x+8)-(10x)=0
We add all the numbers together, and all the variables
-10x+5x(x+8)=0
We multiply parentheses
5x^2-10x+40x=0
We add all the numbers together, and all the variables
5x^2+30x=0
a = 5; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·5·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*5}=\frac{-60}{10} =-6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*5}=\frac{0}{10} =0 $

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