1/8(3x^2-16)=18x

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Solution for 1/8(3x^2-16)=18x equation: 


x in (-oo:+oo)

(1/8)*(3*x^2-16) = 18*x // - 18*x

(1/8)*(3*x^2-16)-(18*x) = 0

(1/8)*(3*x^2-16)-18*x = 0

1/8*(3*x^2-16)-18*x = 0

1/8*(3*x^2-16)-18*x = 0

3/8*x^2-18*x-2 = 0

3/8*x^2-18*x-2 = 0

3/8*x^2-18*x-2 = 0

DELTA = (-18)^2-(-2*3/8*4)

DELTA = 327

DELTA > 0

x = (327^(1/2)+18)/(3/8*2) or x = (18-327^(1/2))/(3/8*2)

x = 4/3*(327^(1/2)+18) or x = 4/3*(18-327^(1/2))

(x-4/3*(18-327^(1/2)))*(x-4/3*(327^(1/2)+18)) = 0

(x-4/3*(18-327^(1/2)))*(x-4/3*(327^(1/2)+18)) = 0

( x-4/3*(18-327^(1/2)) )

x-4/3*(18-327^(1/2)) = 0 // + -4/3*(18-327^(1/2))

x = -(-4/3*(18-327^(1/2)))

x = 4/3*(18-327^(1/2))

( x-4/3*(327^(1/2)+18) )

x-4/3*(327^(1/2)+18) = 0 // + -4/3*(327^(1/2)+18)

x = -(-4/3*(327^(1/2)+18))

x = 4/3*(327^(1/2)+18)

x in { 4/3*(18-327^(1/2)), 4/3*(327^(1/2)+18) }

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