What is the answer to -5=\sqrt[4]{(6x+3)^3}-32 ?

The answer to -5=\sqrt[4]{(6x+3)^3}-32 is x=13

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-5=\sqrt[4]{(6x+3)^3}-32

x = 13

Solution steps

Switch sides

Move

32

to the right side

Take both sides of the equation to the power of

4 : 216 x^{3} + 324 x^{2} + 162 x + 27 = 531441

216 x^{3} + 324 x^{2} + 162 x + 27 = 531441

Solve

216 x^{3} + 324 x^{2} + 162 x + 27 = 531441 : x = 13

x = 13

Verify Solutions:

x = 13

True

The solution is

x = 13

x^{2} - 5 = x + 5

x - 5 = 3 x - 11

x^{\frac{5}{6}} = 32

x + 3 + \frac{6}{x + 3} = 5

What is the answer to -5=\sqrt[4]{(6x+3)^3}-32 ?
The answer to -5=\sqrt[4]{(6x+3)^3}-32 is x=13
Solve for x: -5=\sqrt[4]{(6x+3)^3}-32
The solution is x=13