-2 squared(-2-x)-x to the zero power(3-2)= -2(x+3)
To solve this equation, let's start by simplifying each expression step by step:
1. (-2)^2 is equal to (-2) multiplied by (-2), which gives us 4.
2. x^0 is always equal to 1, regardless of the value of x.
3. (3-2) is equal to 1.
Using these simplifications, the equation can be rewritten as:
4(-2-x) - 1(1) = -2(x+3)
Next, we distribute the 4 and -1 into the parentheses:
-8 - 4x - 1 = -2x - 6
Now, let's simplify the left side of the equation:
-9 - 4x = -2x - 6
To eliminate the variables from one side of the equation, we can add 4x to both sides:
-9 - 4x + 4x = -2x + 4x - 6
Simplifying further:
-9 = 2x - 6
Next, let's isolate the variable by moving the constant term to the right side of the equation:
-9 + 6 = 2x - 6 + 6
Simplifying further:
-3 = 2x
Finally, divide both sides of the equation by 2 to solve for x:
(-3)/2 = (2x)/2
Simplifying the fraction:
-3/2 = x
Therefore, the solution to the equation -2^2(-2-x) - x^0(3-2) = -2(x+3) is x = -3/2.