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 + ×.

$3600 = 1296 + 36 \times$

Step 3

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

$1296 + 36 \times = 3600$

Step 4

Subtract 1296 from both sides.

$36 \times = 3600 - 1296$

Step 5

Subtract 1296 from 3600 to get 2304.

$36 x = 2304$

Step 6

Divide both side by 36.

$\times = \frac{2304}{36}$

Step 7

Divide 2304 by 36 to get 64

My Answer is

$\color{GREEN} \times = 64$

Answer 2

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