2x(5x-7)=6x

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Solution for 2x(5x-7)=6x equation:



2x(5x-7)=6x
We move all terms to the left:
2x(5x-7)-(6x)=0
We add all the numbers together, and all the variables
-6x+2x(5x-7)=0
We multiply parentheses
10x^2-6x-14x=0
We add all the numbers together, and all the variables
10x^2-20x=0
a = 10; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·10·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*10}=\frac{0}{20} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*10}=\frac{40}{20} =2 $

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