8x^(2)-12x
To factor the expression 8x^2 - 12x, we can first factor out the greatest common factor, which is 4x.
4x(2x - 3)
(5-v)(4v+1)=0
To solve the equation (5 - v)(4v + 1) = 0, we use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
Setting each factor equal to zero, we have:
5 - v = 0 and 4v + 1 = 0
Solving the first equation, we move v to the other side:
5 = v
So, v = 5.
Solving the second equation, we move 1 to the other side and divide both sides by 4:
4v = -1
v = -1/4
Therefore, the solutions to the equation (5 - v)(4v + 1) = 0 are v = 5 and v = -1/4.
To simplify the expression 8x^2 - 12x, you can factor out the greatest common factor, which in this case is 4x:
Step 1: Take out the greatest common factor (4x):
4x(2x - 3)
So, the simplified form of 8x^2 - 12x is 4x(2x - 3).