Question

(-3х+4)*(-4х-5)+4х=-20

Answer 1

Ответ:

0 и -1 / 4

Пошаговое объяснение:

(-3х + 4) * (-4х - 5) + 4х = -20

12x² + 15x - 16x -20 + 4x = -20

12x² + 3x = 0                                    | :3

4x² + x = 0

x(4x + 1) = 0

x = 0 или 4x + 1 = 0

x = 0 или x = -1 / 4

Answer 2

To solve the equation (-3x + 4) * (-4x - 5) + 4x = -20, follow these steps:

Step 1: Expand the left side of the equation: (-3x + 4) * (-4x - 5) + 4x = (-3x) * (-4x) + (-3x) * (-5) + 4 * (-4x) + 4 * (-5) + 4x = 12x^2 + 15x - 16x - 20 + 4x

Simplify: = 12x^2 - 3x - 20

Step 2: Rewrite the equation in standard form: 12x^2 - 3x - 20 + 20 = -20 + 20 12x^2 - 3x = 0

Step 3: Factor out the common term: 3x(4x - 1) = 0

Now, you have two possible solutions:

1. 3x = 0 x = 0

2. 4x - 1 = 0 4x = 1 x = 1/4

So, the solutions for the equation are x = 0 and x = 1/4.