Question

(0.8х-4х)(5х +5,5)=0

Answer 1

Выражение сводится к виду -3,2х(5х+5,5)=0
х(5х+5,5)=0, откуда следует, что уравнение имеет 2 корня: 0 и -1,1.

Answer 2

$(0.8x-4x)(5x+5.5)=0\\ -3.2x(5x+5.5)=0 \big | :(-3.2)\\ x(5x+5.5)=0\\ \left [\begin{gathered} x=0\\ x=-1.1 \end{gathered}\right.\\ Answer: -1.1; 0$

Answer 3

To solve the equation $(0.8x - 4x)(5x + 5.5) = 0$, we need to find the values of $x$ that make the equation true. To do this, we'll first simplify the expression inside the parentheses and then set it equal to zero, using the zero product property. The zero product property states that if the product of two factors is equal to zero, then at least one of the factors must be zero.

Let's proceed with the solution step by step:

Step 1: Simplify the expression inside the parentheses. $0.8x - 4x = -3.2x$ (combine like terms) $5x + 5.5$ (already in its simplified form)

Step 2: Set the expression equal to zero using the zero product property. $(-3.2x)(5x + 5.5) = 0$

Step 3: Apply the zero product property by setting each factor to zero and solving for $x$:

1. $-3.2x = 0$ Divide both sides by -3.2 to isolate x: $x = 0$

2. $5x + 5.5 = 0$ Subtract 5.5 from both sides to isolate the term with x: $5x = -5.5$ Divide both sides by 5 to solve for x: $x = \frac{-5.5}{5} = -1.1$

Therefore, the solutions for the equation are $x = 0$ and $x = -1.1$.