<span>Simplifying
10 + -3(3x + -40) = -9x
Reorder the terms:
10 + -3(-40 + 3x) = -9x
10 + (-40 * -3 + 3x * -3) = -9x
10 + (120 + -9x) = -9x
Combine like terms: 10 + 120 = 130
130 + -9x = -9x
Add '9x' to each side of the equation.
130 + -9x + 9x = -9x + 9x
Combine like terms: -9x + 9x = 0
130 + 0 = -9x + 9x
130 = -9x + 9x
Combine like terms: -9x + 9x = 0
130 = 0
Solving
130 = 0
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.</span>
Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...
Explanation:
Here Given Sum to Infinity

Identify following
Solve:


The sum of this infinity series is 4
Answer:

Explanation:

Compute:
35 ÷ 16 = 2.1875 = 2R3
2 ÷ 16 = 0.125 = 0R2
Jot down the remainders:
======


Let's look at another example: ![\sf 325_{10} = [?]_{16}](https://tex.z-dn.net/?f=%5Csf%20325_%7B10%7D%20%3D%20%5B%3F%5D_%7B16%7D)
Compute:
325 ÷ 16 = 20.3125 = 20R5
20 ÷ 16 = 1.25 = 1R4
1 ÷ 16 = 0.0625 = 0R1
Jot down remainders:
=====
![\sf 325_{10} = [145]_{16}](https://tex.z-dn.net/?f=%5Csf%20325_%7B10%7D%20%3D%20%5B145%5D_%7B16%7D)

Another example: ![\sf 500_{10} = [?]_{15}](https://tex.z-dn.net/?f=%5Csf%20500_%7B10%7D%20%3D%20%5B%3F%5D_%7B15%7D)
Compute:
500 ÷ 15 = 33.33... = 33R5
33 ÷ 15 = 2.2 = 2R3
2 ÷ 15 = 0.13... = 0R2
Jot down remainders:
=====
![\sf 500_{10} = [235]_{15}](https://tex.z-dn.net/?f=%5Csf%20500_%7B10%7D%20%3D%20%5B235%5D_%7B15%7D)
For this case, we have the following equation (according to the comments):

First, we factor the quadratic expression in the denominator:

Then, we multiply both sides of the equation by (a-2) (a + 2):

Later, canceling similar terms we have:

We do distributive property on the left side of the equation:

By grouping variables and constant terms we have:

Rewriting we have:

Finally, by clearing "a" we have:

Note: the value of a is a extraneous solution because it makes the denominator of the original equation equal to zero.
Answer:
the student correct, but the value of a= -2 is an extraneous solution
Answer:
A. (2(4x+7x))=P
B. 2(4(3)+7(3))=2(12+21)=2(33)=66
Step-by-step explanation: