Solve for y y^5+16y=0

Math
y5+16y=0
Factor y out of y5+16y.
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Factor y out of y5.
y⋅y4+16y=0
Factor y out of 16y.
y⋅y4+y⋅16=0
Factor y out of y⋅y4+y⋅16.
y(y4+16)=0
y(y4+16)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
y=0
y4+16=0
Set the first factor equal to 0.
y=0
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
y4+16=0
Subtract 16 from both sides of the equation.
y4=-16
Take the 4th root of both sides of the equation to eliminate the exponent on the left side.
y=±-164
The complete solution is the result of both the positive and negative portions of the solution.
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Simplify the right side of the equation.
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Rewrite -16 as 24⋅-1.
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Factor 16 out of -16.
y=±16(-1)4
Rewrite 16 as 24.
y=±24⋅-14
y=±24⋅-14
Pull terms out from under the radical.
y=±2-14
y=±2-14
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the ± to find the first solution.
y=2-14
Next, use the negative value of the ± to find the second solution.
y=-2-14
The complete solution is the result of both the positive and negative portions of the solution.
y=2-14,-2-14
y=2-14,-2-14
y=2-14,-2-14
y=2-14,-2-14
The final solution is all the values that make y(y4+16)=0 true.
y=0,2-14,-2-14
Solve for y y^5+16y=0

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