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Express your answer as an integer or a simplified fraction. 75=-5+10b³

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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 :

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.

User Dany Dhondt
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