Final answer:
The solution to the equation 75=-5+10b³ is found by isolating the variable b, which results in b = 2.
Step-by-step explanation:
To solve the equation 75=-5+10b³, we need to isolate the variable b. First, let's add 5 to both sides of the equation to get rid of the -5 on the right side:
75 + 5 = -5 + 10b³ + 5
80 = 10b³
Next, we divide both sides by 10 to solve for b³:
80 / 10 = 10b³ / 10
8 = b³
Now, to solve for b, we take the cube root of both sides:
√[3]{8} = √[3]{b³}
b = 2
Therefore, the value of b that satisfies the equation is 2.