x^+2x^-5x-6/x+3= x+x-6

is this right, please help with this question

Your systematic use of non-standard symbols makes it difficult to answer.

What does x^ mean?
what does 6/x+3 Mean?

It mean x with 2 over it and divide by x+3

-32a^+4a-6=

2(a^(a+16)+2(2a+3)
2(a^+16)(a+2)(x+6)

Is this right could you help me.

To determine if the given equation is correct, we need to simplify both sides of the equation and check if they are equal.

Let's start by simplifying the left side of the equation:

x^2 + 2x - 5x - 6 / x + 3

To simplify the expression, we need to factor the numerator and denominator separately:

Numerator: x^2 + 2x - 5x - 6 = x(x + 2) - 5(x + 2) = (x - 5)(x + 2)

Denominator: x + 3

Now, let's rewrite the equation using the simplified form of the left side:

(x - 5)(x + 2) / (x + 3) = x + x - 6

Next, we can multiply both sides of the equation by (x + 3) to eliminate the denominator:

(x - 5)(x + 2) = (x + x - 6)(x + 3)

Expanding both sides:

x^2 - 3x - 10 = x^2 + 4x - 6x - 18

Combining like terms:

x^2 - 3x - 10 = x^2 - 2x - 18

Now, subtract x^2 and add 2x to both sides of the equation to isolate the variables:

-3x + 2x = -18 + 10

Simplifying:

-x = -8

Finally, multiplying both sides by -1 to solve for x:

x = 8

So, the solution to the equation is x = 8.

To summarize the steps:
1. Simplify both sides of the equation separately by factoring the numerator and denominator.
2. Rewrite the equation with the simplified left side.
3. Multiply both sides by the denominator to eliminate it.
4. Expand and combine like terms on both sides.
5. Isolate the variables on one side of the equation.
6. Solve for x by performing any necessary operations.

In this case, the given equation is correct and the solution is x = 8.