How do you solve for X in the equation (2x-3)(x-5)(4x+7)=0?
since it's already factored, you can equate each factor to zero and solve for x.
2x - 3 = 0
2x = 3
x = 3/2
x - 5 = 0
x = 5
4x + 7 = 0
4x = -7
x = -7/4
note that there are three values of x.
hope this helps~ :)
solve for x.
(2x-3)=0
(x-5)=0
(4x+7)=0
To solve for x in the equation (2x-3)(x-5)(4x+7)=0, we can use the zero-product property. According to the zero-product property, if the product of two or more factors is equal to zero, then at least one of the factors must be zero.
In this case, we have three factors: (2x-3), (x-5), and (4x+7). So, we set each factor equal to zero and solve for x individually.
Step 1: Set (2x-3) = 0 and solve for x:
Adding 3 to both sides, we get:
2x = 3
Dividing by 2, we have:
x = 3/2 or x = 1.5
Step 2: Set (x-5) = 0 and solve for x:
Adding 5 to both sides, we get:
x = 5
Step 3: Set (4x+7) = 0 and solve for x:
Subtracting 7 from both sides, we get:
4x = -7
Dividing by 4, we have:
x = -7/4
So, the solutions for x are x = 3/2, x = 5, and x = -7/4.