Question

18x²+6x=0bbhshhahhhhhhh

Answer 1

Ответ:

$18x {}^{2} + 6x = 0 \\ 6x(3x + 1) = 0 \\ 6x = 0........3x + 1 = 0 \\ x = 0...........x = - 4$

Answer 2

Ответ:

X=0 или x= - 1/3

Объяснение:

18x^2+6x=0

6x(3x+1)=0

X=0 или x= - 1/3

Answer 3

It looks like you have provided a mathematical expression: 18x² + 6x = 0. To solve this quadratic equation for x, we can factor it or use the quadratic formula. Let's go through both methods:

1. Factoring method: To factor the equation, we first need to set it equal to zero:

18x² + 6x = 0

Next, we can factor out the common term '6x' from both terms:

6x(3x + 1) = 0

Now, we can use the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero:

6x = 0 or 3x + 1 = 0

Now, solve for x in each case:

a) 6x = 0 Divide both sides by 6: x = 0

b) 3x + 1 = 0 Subtract 1 from both sides: 3x = -1 Divide both sides by 3: x = -1/3

So the solutions to the equation are x = 0 and x = -1/3.

2. Quadratic formula: The quadratic formula is given by:

x = (-b ± √(b² - 4ac)) / 2a

Where a, b, and c are the coefficients of the quadratic equation in the form ax² + bx + c = 0.

In our case, the equation is 18x² + 6x = 0, so a = 18, b = 6, and c = 0.

Plugging these values into the quadratic formula:

x = (-(6) ± √((6)² - 4(18)(0))) / 2(18) x = (-6 ± √(36)) / 36 x = (-6 ± 6) / 36

Now, calculate the two possible solutions:

a) x = (-6 + 6) / 36 x = 0 / 36 x = 0

b) x = (-6 - 6) / 36 x = -12 / 36 x = -1/3

As you can see, the solutions obtained through the factoring method and the quadratic formula match: x = 0 and x = -1/3.