Question

solve 64x^3-324x=0

Answer 1

Solve for x over the real numbers:
64 x^3-324 x = 0
Factor the left hand side.
The left hand side factors into a product with four terms:
4 x (4 x-9) (4 x+9) = 0
Divide both sides by a constant to simplify the equation.
Divide both sides by 4:
x (4 x-9) (4 x+9) = 0
Solve each term in the product separately.
Split into three equations:
x = 0 or 4 x-9 = 0 or 4 x+9 = 0
Look at the second equation: Isolate terms with x to the left hand side.
Add 9 to both sides:
x = 0 or 4 x = 9 or 4 x+9 = 0
Solve for x.
Divide both sides by 4:
x = 0 or x = 9/4 or 4 x+9 = 0
Look at the third equation: Isolate terms with x to the left hand side.
Subtract 9 from both sides:
x = 0 or x = 9/4 or 4 x = -9
Solve for x.
Divide both sides by 4:
Answer: |
| x = 0 or x = 9/4 or x = -9/4