2/3(x+3)2-9=15

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Solution for 2/3(x+3)2-9=15 equation: 


x in (-oo:+oo)

(2/3)*(x+3)^2-9 = 15 // - 15

(2/3)*(x+3)^2-15-9 = 0

2/3*(x+3)^2-15-9 = 0

2/3*(x+3)^2-15-9 = 0

2/3*x^2+4*x-9-9 = 0

2/3*x^2+4*x-18 = 0

2/3*x^2+4*x-18 = 0

2*(1/3*x^2+2*x-9) = 0

1/3*x^2+2*x-9 = 0

DELTA = 2^2-(-9*1/3*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)-2)/(1/3*2) or x = (-16^(1/2)-2)/(1/3*2)

x = 3 or x = -9

2*(x+9)*(x-3) = 0

2*(x+9)*(x-3) = 0

( x+9 )

x+9 = 0 // - 9

x = -9

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -9, 3 }

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