Question

Hello! I'm having a bit of trouble trying to solve this, could anyone help explain it to me?

Answer 1

×=64

Step By Step Explanation:

`{60}^(2) = 36(36 + x)`

Step 1

Calculate 60 to the power of 2 and get 3600.

`3600 = 36(36 + x)`

Step 2

Use the distributive property to multiply 36 by 36 + ×.

`3600 = 1296 + 36 *`

Step 3

Swap sides so the all variable terms are on the left hand side.

`1296 + 36 * = 3600`

Step 4

Subtract 1296 from both sides.

`36 * = 3600 - 1296`

Step 5

Subtract 1296 from 3600 to get 2304.

`36 x = 2304`

Step 6

Divide both side by 36.

`* = (2304)/(36)`

Step 7

Divide 2304 by 36 to get 64

My Answer is

`\color{GREEN} * = 64`

Answer 2

`\displaystyle\ 60^2 =36(36+x)\\\\1296+36x=3600\\\\36x=2304\\\\\boxed{x=64}`