To correctly solve x from the given equation,
3x - 3 = 6x + 1
We first subtract 3x from both sides of the equation and this will give us,
-3 = (6x - 3x) + 1
Simplifying,
-3 = 3x + 1
Then, subtract 1 again from both sides of the equation to give,
-4 = 3x
Lastly, divide both sides by 3 giving us a final answer for x which is x = -4/3.
7 1/4 - 2 5/12 = 29
6
= 45
6
≅ 4.833333
12 months i believe is the answer because 32.26 x 12 equals 387.12
Answer:
<u>Equation:</u>
Step-by-step explanation:
<u>Step 1:</u>
- Pull out like factors:
![gx - x^4 = x * (g - x^3)](https://tex.z-dn.net/?f=gx%20-%20x%5E4%20%3D%20x%20%2A%20%28g%20-%20x%5E3%29)
<u>Trying to factor as a Difference of Cubes:</u>
- Factoring:
![g - x^3](https://tex.z-dn.net/?f=g%20-%20x%5E3)
- Theory : A difference of two perfect cubes, a^3 - b^3 can be factored into
- (a-b) • (a^2 +ab +b^2)
- Proof : (a-b)•(a^2+ab+b^2) =
- a^3+a^2b+ab^2-ba^2-b^2a-b^3 =
- a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =
- a^3+0+0-b^3 =
- a^3-b^3
- Check : g^1 is not a cube !!
- Ruling : Binomial cannot be factored as the difference of two perfect cubes
<u>Equation at end of step 1:</u>
- <u />
![x * (g - x^3) = 0](https://tex.z-dn.net/?f=x%20%2A%20%28g%20-%20x%5E3%29%20%3D%200)
<u>Step 2:</u>
- A product of several terms equals zero.
- When a product of two or more terms equals zero, then at least one of the terms must be zero.
- We shall now solve each term = 0 separately
- In other words, we are going to solve as many equations as there are terms in the product
- Any solution of term = 0 solves product = 0 as well.
<u>Solving a Single Variable Equation:</u>
- Solve
![g - x^3 = 0](https://tex.z-dn.net/?f=g%20-%20x%5E3%20%3D%200)
- In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
- We shall not handle this type of equations at this time.
<u>Solution:</u>