4(t) = 80t +0 -0.5.32t²

t = 475

Step-by-step explanation:

Hey there! I'm glad I was able to help you solve this scary-looking math problem!

I will solve the equation as shown, 4(t) = 80t + 0 - 0.5.32t^2!

First, you'll want to simplify both sides of your equation. We are now left with:

4t = -0.16t^2 + 80t

Next, we subtract -0.16t^2 + 80t from each side of the equation, and since this is a problem we have to factor, we want either side to equal zero. The cancellation method helps us here!

4t - ( -0.16t^2 + 80t ) = -0.16t^2 + 80t - ( 0.16t^2 + 80t )

0.16t^2 - 76t = 0

Then, you'll want to factor the left side of the equation. Our problem is now set as shown below:

t ( 0.16t - 76 ) = 0

Lastly, we set factors that are equal to zero.

0.16t - 76 = 0

t = 475

To make sure this answer correct, you can put the following equation into a calculator, thus finding the answer shown is 0.

0.16 (475) - 76 = 0

I hope this helped you! You can leave a comment below if you have any questions at all, or if you think I've made any mistakes! <3

step-by-step explanation:

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