Question

2x (x+18) 2 − x 2 (x+18)=0 решите уравнение

Answer 1

2х-18=0 
5х^2+8х-4=0
2х^2-х+3=0
2х-6х+7=0
6х^2-18=0
х^2+16=8
9-16y^2=0 
х^2+5х+6=0

Answer 2

To solve the equation 2x(x + 18)^2 - x^2(x + 18) = 0, follow these steps:

Step 1: Factor out the common term (x + 18): 2x(x + 18)(x + 18) - x^2(x + 18) = 0

Step 2: Distribute the common factor (x + 18) in both terms: 2x(x^2 + 36x + 324) - (x^3 + 18x^2) = 0

Step 3: Expand further: 2x^3 + 72x^2 + 648x - x^3 - 18x^2 = 0

Step 4: Combine like terms: x^3 + 54x^2 + 648x = 0

Step 5: Factor out the common term (x): x(x^2 + 54x + 648) = 0

Step 6: Factor the quadratic expression inside the parenthesis: x(x + 18)(x + 36) = 0

Step 7: Apply the zero-product property: Set each factor equal to zero and solve for x:

1. x = 0
2. x + 18 = 0 => x = -18
3. x + 36 = 0 => x = -36

So, the solutions to the equation are x = 0, x = -18, and x = -36.