4+(6x-3/4)^2=73/16

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Solution for 4+(6x-3/4)^2=73/16 equation: 


x in (-oo:+oo)

(6*x-(3/4))^2+4 = 73/16 // - 73/16

(6*x-(3/4))^2-(73/16)+4 = 0

(6*x-3/4)^2-73/16+4 = 0

(16*(6*x-3/4)^2)/16-73/16+(4*16)/16 = 0

16*(6*x-3/4)^2+4*16-73 = 0

576*x^2-144*x-64+64 = 0

576*x^2-144*x = 0

576*x^2-144*x = 0

144*x*(4*x-1) = 0

4*x-1 = 0 // + 1

4*x = 1 // : 4

x = 1/4

144*x*(x-1/4) = 0

(144*x*(x-1/4))/16 = 0

(144*x*(x-1/4))/16 = 0 // * 16

144*x*(x-1/4) = 0

( 144*x )

144*x = 0 // : 144

x = 0

( x-1/4 )

x-1/4 = 0 // + 1/4

x = 1/4

x in { 0, 1/4 }

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