(X/2-1)^2=4/9X^2

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Solution for (X/2-1)^2=4/9X^2 equation: 


X in (-oo:+oo)

(X/2-1)^2 = (4/9)*X^2 // - (4/9)*X^2

(X/2-1)^2-((4/9)*X^2) = 0

(X/2-1)^2+(-4/9)*X^2 = 0

(1/2*X-1)^2+(-4*X^2)/9 = 0

(9*(1/2*X-1)^2)/9+(-4*X^2)/9 = 0

9*(1/2*X-1)^2-4*X^2 = 0

9-7/4*X^2-9*X = 0

9-7/4*X^2-9*X = 0

9-7/4*X^2-9*X = 0

DELTA = (-9)^2-(-7/4*4*9)

DELTA = 144

DELTA > 0

X = (144^(1/2)+9)/(-7/4*2) or X = (9-144^(1/2))/(-7/4*2)

X = -6 or X = 6/7

(X+6)*(X-6/7) = 0

((X+6)*(X-6/7))/9 = 0

((X+6)*(X-6/7))/9 = 0 // * 9

(X+6)*(X-6/7) = 0

( X+6 )

X+6 = 0 // - 6

X = -6

( X-6/7 )

X-6/7 = 0 // + 6/7

X = 6/7

X in { -6, 6/7 }

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