Answer :
Answer: x = 0, x = 20, or x = 3/2
Explanation:
We can start by factoring out x from both sides of the equation:
9x^3 - 48x^2 - 20x - 16x = 0
x(9x^2 - 48x - 20 - 16) = 0
Simplifying the expression inside the parentheses:
x(9x^2 - 48x - 36) = 0
Now we can factor the quadratic expression inside the parentheses:
x(3x - 6)(3x - 6) = 0
Simplifying further:
x(3x - 6)^2 = 0
This equation has three solutions:
x = 0, x = 20, or x = 3/2.
Explanation:
We can start by factoring out x from both sides of the equation:
9x^3 - 48x^2 - 20x - 16x = 0
x(9x^2 - 48x - 20 - 16) = 0
Simplifying the expression inside the parentheses:
x(9x^2 - 48x - 36) = 0
Now we can factor the quadratic expression inside the parentheses:
x(3x - 6)(3x - 6) = 0
Simplifying further:
x(3x - 6)^2 = 0
This equation has three solutions:
x = 0, x = 20, or x = 3/2.
Answer:
To solve the given equation by factoring, we first rearrange the terms to get:
9x^3 - 48x^2 - 36x = 0
We can factor out a common factor of 9x to obtain:
9x(x^2 - 5.33x - 4) = 0
Next, we can factor the quadratic expression inside the parentheses using the quadratic formula or by factoring by grouping. Using the quadratic formula, we have:
x = [5.33 ± sqrt(5.33^2 + 4(4))]/2
x = [5.33 ± sqrt(42.89)]/2
x = 4.85 or x = 0.48
Therefore, the solutions to the original equation are:
x = 0 (from the factor of 16x on the left-hand side of the equation)
x = 4.85
x = 0.48
Step-by-step explanation:
