Question

(2x+3)-5(x²-3)=-3x(2x+2)​

Answer 1

Ответ:

Объяснение:

2x+3-5x^2+15=-6x^2-6x,    x^2+8x+18=0,    D=64-72=-8<0,  

нет корней

Answer 2

To solve the equation (2x+3) - 5(x²-3) = -3x(2x+2), follow these steps:

Step 1: Distribute the terms on the left side and right side of the equation:

2x + 3 - 5x² + 15 = -6x² - 6x

Step 2: Combine like terms on both sides of the equation:

2x + 3 + 15 - 5x² = -6x² - 6x

18 + 2x - 5x² = -6x² - 6x

Step 3: Move all terms to one side of the equation to set it equal to zero:

-6x² - 6x - 5x² + 2x + 18 = 0

-11x² - 4x + 18 = 0

Step 4: Solve the quadratic equation. This can be done by factoring, using the quadratic formula, or by completing the square. In this case, let's try factoring:

(-11x + 9)(x + 2) = 0

Now we have two possible solutions:

-11x + 9 = 0 => -11x = -9 => x = 9/11 x + 2 = 0 => x = -2

So, the solutions for the equation are x = 9/11 and x = -2.