10 (x + 2) = 5 (x + 8)
First, we can start off by dividing each side by 5. Each side usually meaning, the whole number in front of the parentheses, in simpler words. 10 ÷ 5 = 2 and 5 ÷ 5 = 1, which can be represented as a variable (x).
Second, we can now expand our problem. Basically, remove parentheses. We're focusing on the left side of the problem right now, so to expand 2(x + 2), we could combine 2 and the variable to create 2x, and multiply 2 times 2, which equals 4.
Third, our next step is to subtract 4 from each side. Now all we are trying to do is get the variable to equal something by itself.
Fourth, let's simplify the right side of the problem now. x + 8 - 4, we would start of by subtracting 8 - 4, which equals 4 and leave the variable alone.
Fifth, subtract the variable (x) from each side. You will get the problem to look like: 2x - x = 4. We can now simplify 2x - x, which equals x.
Answer:
The correct answer is x=3
Answer:
y = 2x^2 + 4x - 2
Step-by-step explanation:
y=2(x+1)^(2)-4 is in vertex form. We want the same equation in standard form, which looks like y = ax^2 + bx + c.
Perform the indicated multiplication (squaring of x + 1):
y = 2(x^2 + 2x + 1) - 4, or
y = 2x^2 + 4x + 2 - 4, or
y = 2x^2 + 4x - 2 This is in the standard form of a quadatic.
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Answer:
Step-by-step explanation:
We are given an equation 5z² + 9z - 2 = 0 and we are to find possible values of z by solving that equation
We will do the task by factorization method:
5z² + 9z - 2 = 0
We can break the midterm (+9z) in two terms such that when they are multiplied the result is -10z² i.e. equal to product of first and third term of the equation above and their sum is equal to 9z
5z² + 10z - z - 2 = 0
5z(z + 2) - 1(z + 2) = 0
taking z+2 common in the above equation
(z+2)(5z-1) = 0
We can write above equation as
(x+2) = 0 (5z-1) = 0
x = -2; 5z = 1