(4(x+3)^2)/8=50

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Solution for (4(x+3)^2)/8=50 equation: 


x in (-oo:+oo)

(4*(x+3)^2)/8 = 50 // - 50

(4*(x+3)^2)/8-50 = 0

(4*(x+3)^2)/8+(-50*8)/8 = 0

4*(x+3)^2-50*8 = 0

4*x^2+24*x-364 = 0

4*x^2+24*x-364 = 0

4*(x^2+6*x-91) = 0

x^2+6*x-91 = 0

DELTA = 6^2-(-91*1*4)

DELTA = 400

DELTA > 0

x = (400^(1/2)-6)/(1*2) or x = (-400^(1/2)-6)/(1*2)

x = 7 or x = -13

4*(x+13)*(x-7) = 0

(4*(x+13)*(x-7))/8 = 0

(4*(x+13)*(x-7))/8 = 0 // * 8

4*(x+13)*(x-7) = 0

( x+13 )

x+13 = 0 // - 13

x = -13

( x-7 )

x-7 = 0 // + 7

x = 7

x in { -13, 7 }

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