Bob installed the solar panel. It cost him $1,512 to purchase the panel and $263 to have it installed. If he saves an average of $50 a month, approximately how long before the panel has paid for itself?

the panel will pay for itself in approximately 36 months

Step-by-step explanation:

Let x represent the number of months before the panel pays for itself.

It cost him $1,512 to purchase the panel and $263 to have it installed. This means that the total cost of purchasing and installing the solar panel would be

1512 + 263 = $1775

If he saves an average of $50 a month, it means that in x months, he would save 50x

At the point where the total amount saved equals the total cost of purchasing and installing the panel, then

50x = 1775

x = 1775/50

x = 35.5

Approximately 36 months

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x