5d^3-80d=0
Please help me solve this equation by factoring.
5d(d^2 - 16)
d^2 = 16 (then you take the square root
therefore d = 0, -4, 4
thank you!
To solve the equation 5d^3 - 80d = 0 by factoring, we can start by factoring out the greatest common factor, which is 5d:
5d(d^2 - 16) = 0
Now, we have a product of two factors equal to zero. According to the zero-product property, at least one of the factors must be equal to zero in order for the product to equal zero. Therefore, we can set each factor equal to zero and solve for d:
Setting 5d = 0:
d = 0
Setting d^2 - 16 = 0:
d^2 = 16
Taking the square root of both sides:
d = ±√16
d = ±4
So, the solutions to the equation 5d^3 - 80d = 0 are d = 0, d = 4, and d = -4.
By factoring out the greatest common factor, we simplified the equation and then solved for each factor individually to find the solutions.