140=x(x+40/100)

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Solution for 140=x(x+40/100) equation:



140=x(x+40/100)
We move all terms to the left:
140-(x(x+40/100))=0
We add all the numbers together, and all the variables
-(x(+x+40/100))+140=0
We multiply all the terms by the denominator
-(x(+x+40+140*100))=0
We calculate terms in parentheses: -(x(+x+40+140*100)), so:
x(+x+40+140*100)
We add all the numbers together, and all the variables
x(x+14040)
We multiply parentheses
x^2+14040x
Back to the equation:
-(x^2+14040x)
We get rid of parentheses
-x^2-14040x=0
We add all the numbers together, and all the variables
-1x^2-14040x=0
a = -1; b = -14040; c = 0;
Δ = b2-4ac
Δ = -140402-4·(-1)·0
Δ = 197121600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{197121600}=14040$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14040)-14040}{2*-1}=\frac{0}{-2} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14040)+14040}{2*-1}=\frac{28080}{-2} =-14040 $

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