Find all solutions of the equation. Check your solutions in the original equation. (Enter your answers as a comma-separated list.)

36t^{2/3}+ 84t^{1/3}+ 49 = 0

Put t^{1/3 } =x

36x^{2}+84x+49=0

(6x)^{2}+2*6x*7+7^{2 }0

(6x+7)^{2} =0

6x+7=0

6x = -7

x = -7/6

t^{1/3 } = (-7/6)

t = -343/216

can you explain your answer is that 2 solutions or just one

Only one solution because (6x+7)(6x+7)=0 ;

6x =-7

x= -7/6

t ^ (1/3) = (-7/6)

Cubing both sides t = (-7/6)(-7/6)(-7/6) = -343/216

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