Question

A)(8x-12)(2,1+0,3x)=0 б)7x-(4x+3)=3x+2

Answer 1

а) (8x-12)(2,1+0.3x)=0

8x-12=0   или   2,1+0,3x=0

8x=12                 0,3x=-2,1

x=1,5                    x=-7

Ответ: 1,5 и -7

б) 7x-(4x+3)=3x+2

7x-4x-3=3x+2

3x-3x=2+3

0=5

решений нет

Answer 2

Let's solve the given equations step by step:

a) (8x-12)(2.1+0.3x) = 0

To solve this equation, we need to find the values of 'x' that make the expression equal to zero. We can use the zero-product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

So, (8x-12)(2.1+0.3x) = 0

Now, set each factor to zero and solve for 'x':

1. 8x - 12 = 0 Add 12 to both sides: 8x = 12 Divide both sides by 8: x = 12/8 x = 1.5

2. 2.1 + 0.3x = 0 Subtract 2.1 from both sides: 0.3x = -2.1 Divide both sides by 0.3: x = -2.1 / 0.3 x = -7

So, the solutions for the equation are x = 1.5 and x = -7.

b) 7x - (4x + 3) = 3x + 2

Let's solve this equation step by step:

7x - (4x + 3) = 3x + 2

First, distribute the negative sign inside the parentheses:

7x - 4x - 3 = 3x + 2

Combine like terms on each side of the equation:

(7x - 4x) - 3 = 3x + 2

3x - 3 = 3x + 2

Now, we can isolate 'x' on one side of the equation. However, notice that 'x' appears on both sides of the equation, and the coefficients are the same. This implies that the equation does not have a unique solution. Let's simplify it further:

Subtract 3x from both sides:

3x - 3 - 3x = 3x + 2 - 3x

Simplify:

-3 = 2

Since -3 is not equal to 2, we can conclude that there is no solution to this equation. This means that the original equation has no solutions for 'x'.