Question

2x(x+2)-9=(x-3)(x+3)​

Answer 1

Ответ: 0; -4

Объяснение:

2x(x+2)-9=(x-3)(x+3)​

$2x^{2} + 4x - 9 = x^{2} - 9 \\2x^{2} - x^{2} +4x - 9 + 9 = 0 \\x^{2} +4x=0\\x(x+4)=0$

x=0 или x+4=0

$x_{1} =0$ или $x_{2}= -4$

Answer 2

To solve the given equation, we'll start by simplifying both sides and then solving for the variable "x".

Given equation: 2x(x+2) - 9 = (x-3)(x+3)

Step 1: Expand both sides of the equation: 2x(x+2) - 9 = (x-3)(x+3) 2x^2 + 4x - 9 = x^2 + 3x - 3x - 9

Step 2: Combine like terms on both sides: 2x^2 + 4x - 9 = x^2 - 9

Step 3: Subtract x^2 from both sides to isolate the x^2 term on one side: 2x^2 - x^2 + 4x - 9 = - 9 x^2 + 4x - 9 = -9

Step 4: Add 9 to both sides to eliminate the constant term on the left side: x^2 + 4x = 0

Step 5: Factor out the common term "x" from the left side: x(x + 4) = 0

Now, we have two possible solutions for x:

1. x = 0
2. x + 4 = 0 x = -4

So, the solutions for the given equation are x = 0 and x = -4.