(x+3/2)^2=36

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Solution for (x+3/2)^2=36 equation: 


x in (-oo:+oo)

(x+3/2)^2 = 36 // - 36

(x+3/2)^2-36 = 0

(x+3/2)^2-36 = 0

x^2+3*x-135/4 = 0

x^2+3*x-135/4 = 0

x^2+3*x-135/4 = 0

DELTA = 3^2-(-135/4*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)-3)/(1*2) or x = (-144^(1/2)-3)/(1*2)

x = 9/2 or x = -15/2

(x+15/2)*(x-9/2) = 0

(x+15/2)*(x-9/2) = 0

( x+15/2 )

x+15/2 = 0 // - 15/2

x = -15/2

( x-9/2 )

x-9/2 = 0 // + 9/2

x = 9/2

x in { -15/2, 9/2 }

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