Could you please show me how to solvethis:
x+6/4x^2 + 3/2x^2 = x + 4/2x^2
Please show me the steps-I don't even know where to start and I have 30 of these for homework
Thank you
For some strange reason, I think you meant to type
(x+6)/4x^2 + 3/2x^2 = (x + 4)/2x^2
The LCD is 4x^2, so let's multiply each term by that
x+6 + 6 = 2(x+4)
x+12 = 2x + 8
x = 4
If you meant it the way you typed, it will turn into a cubic equation, ... very hard to solve.
How can the LCD be 4x^2 when you have two (2x^2) as two of the denominators?
help finding a slope of any object in my house. I cant find anything to measure and how to describe it.
Of course! I'll guide you through the steps to solve this equation:
Step 1: Start by getting rid of the denominators. Multiply each term in the equation by the common denominator, which in this case is 4x^2.
(4x^2) * (x + 6/4x^2) + (4x^2) * (3/2x^2) = (4x^2) * (x + 4/2x^2)
Simplifying this will give you:
4x^2 * (x) + 4x^2 * (6/4x^2) + 4x^2 * (3/2x^2) = 4x^2 * (x) + 4x^2 * (4/2x^2)
Step 2: Simplify both sides of the equation. This involves multiplying out and canceling terms where possible.
4x^2 * (x) = 4x^2 * (x) simplifies to 4x^3 = 4x^3
Multiplying the remaining terms will give you:
4x^3 + 6 + 6x = 4x^3 + 8
Step 3: Eliminate the like terms on both sides of the equation.
To do this, you need to subtract 4x^3 from both sides:
(4x^3 - 4x^3) + 6 + 6x = (4x^3 - 4x^3) + 8
This will simplify to:
6 + 6x = 8
Step 4: Simplify the equation further by subtracting 6 from both sides:
6 + 6x - 6 = 8 - 6
This yields:
6x = 2
Step 5: Solve for x by dividing both sides of the equation by 6:
(6x)/6 = 2/6
This simplifies to:
x = 1/3
So, the solution to the original equation is x = 1/3.
Remember, when solving equations always begin by getting rid of the denominators, simplify, eliminate like terms, and isolate the variable by performing inverse operations. I hope this helps you understand how to solve similar equations!