Question

3x² + 6x = 8x² - 15x

Answer 1

3х² + 6х = 8х² - 15х

3х² - 8х² + 6х + 15х = 0

-5х² + 21х = 0

- х (5х - 21) = 0

- х = 0                      5х - 21 = 0

х = 0                        5х = 21

                                х =  21/5

х1 = 0

х2 = 21/5

Answer 2

3x² + 6x = 8x² - 15x

3х²-8х² +6х+15х=0

-5х² +21х=0 | × (-1) (умножим на (-1)

5х²-21х=0

вынесем х:

х(5х-21)=0

х₁=0 или 5х-21=0

5х=21

х=21÷5

х₂=4,2

Answer 3

To solve the equation 3x² + 6x = 8x² - 15x, we need to simplify and rearrange it to find the value(s) of x that satisfy the equation. Let's start by bringing all the terms to one side of the equation to set it equal to zero:

8x² - 3x² + 15x - 6x = 0

Now, combine like terms:

5x² + 9x = 0

The next step is to factor out the common term of x:

x(5x + 9) = 0

Now, we have two possibilities:

1. x = 0
2. 5x + 9 = 0

For the second equation (5x + 9 = 0), we can solve for x:

5x = -9 x = -9/5

So, the solutions for the equation 3x² + 6x = 8x² - 15x are:

1. x = 0
2. x = -9/5 (or -1.8)