Solve for m. Express your answer as an integer or integers or in simplest radical form
178=-6+4m^3
First, let's isolate the m^3 term by adding 6 to both sides:
178 = -6 + 4m^3
184 = 4m^3
Divide by 4 on both sides:
m^3 = 46
Now, cube root both sides to solve for m:
m = ∛46
Therefore, the value of m is ∛46 in simplest radical form.