(2x^2-6x)/1.25=x^2

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Solution for (2x^2-6x)/1.25=x^2 equation: 


x in (-oo:+oo)

(2*x^2-(6*x))/1.25 = x^2 // - x^2

(2*x^2-(6*x))/1.25-x^2 = 0

(2*x^2-6*x)/1.25-x^2 = 0

(2*x^2-6*x)/1.25+(1.25*(-x^2))/1.25 = 0

2*x^2+1.25*(-x^2)-6*x = 0

0.75*x^2-6*x = 0

0.75*x^2-6*x = 0

x*(0.75*x-6) = 0

0.75*x-6 = 0 // + 6

0.75*x = 6 // : 0.75

x = 6/0.75

x = 8

x*(x-8) = 0

(x*(x-8))/1.25 = 0

(x*(x-8))/1.25 = 0 // * 1.25

x*(x-8) = 0

( x-8 )

x-8 = 0 // + 8

x = 8

( x )

x = 0

x in { 8, 0 }

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