Question

Solve the equation by factoring.

25d3 – 36d = 0

Answer 1

-6/5, 0, 6/5.

Explanation:

25d3 – 36d = 0

The GCF is d so we have:

d(25d^2 - 36) = 0

d = 0 is one solution, and:

25d^2 - 36 = 0

25d^2 = 36

d^2 = 36/25

d = +/- 6/5

d = -6/5, 6/5.

Answer 2

-6/5, 0, 6/5

Explanation:

1. First factor out the d and you are left with d(25d^2-36)=0
2. (a+b)(a-b) = a^2-b^2
3. Using that principle you can then simplify further by factoring it into d(5d+6)(5d-6)=0
4. Then just solve to get the answers.