Question 1028262
{{{60-(1/20)(x+75)^(3/2)=10}}}
multiply each side by 20
{{{1200 - (x+75)^(3/2)=200}}}
add -1200 to each side

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{{{ - (x+75)^(3/2)= - 1000}}}
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{{{ (x+75)^(3/2)= 1000}}}
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raise each side to the 2/3 power

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{{{ (x+75)= 1000^(2/3)}}}
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{{{ (x+75)= (1000^2)^(1/3))}}}


{{{ (x+75)= (1000000)^(1/3))}}}


{{{ (x+75)= (100^3)^(1/3))}}}


{{{ x+75= 100}}}


add -75 to each side
x = 25