5x*5x+30x=0

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Solution for 5x*5x+30x=0 equation:



5x*5x+30x=0
We add all the numbers together, and all the variables
30x+5x*5x=0
Wy multiply elements
25x^2+30x=0
a = 25; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·25·0
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*25}=\frac{-60}{50} =-1+1/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*25}=\frac{0}{50} =0 $

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