10x^2+150x+540/2(x^2-81)

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Solution for 10x^2+150x+540/2(x^2-81) equation: 


x in (-oo:+oo)

(540/2)*(x^2-81)+10*x^2+150*x = 0

270*(x^2-81)+10*x^2+150*x = 0

270*(x^2-81)+10*x^2+150*x = 0

280*x^2+150*x-21870 = 0

280*x^2+150*x-21870 = 0

10*(28*x^2+15*x-2187) = 0

28*x^2+15*x-2187 = 0

DELTA = 15^2-(-2187*4*28)

DELTA = 245169

DELTA > 0

x = (245169^(1/2)-15)/(2*28) or x = (-245169^(1/2)-15)/(2*28)

x = (3*27241^(1/2)-15)/56 or x = (-3*27241^(1/2)-15)/56

10*(x-((-3*27241^(1/2)-15)/56))*(x-((3*27241^(1/2)-15)/56)) = 0

10*(x-((-3*27241^(1/2)-15)/56))*(x-((3*27241^(1/2)-15)/56)) = 0

( x-((-3*27241^(1/2)-15)/56) )

x-((-3*27241^(1/2)-15)/56) = 0 // + (-3*27241^(1/2)-15)/56

x = (-3*27241^(1/2)-15)/56

( x-((3*27241^(1/2)-15)/56) )

x-((3*27241^(1/2)-15)/56) = 0 // + (3*27241^(1/2)-15)/56

x = (3*27241^(1/2)-15)/56

x in { (-3*27241^(1/2)-15)/56, (3*27241^(1/2)-15)/56 }

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