Question

* (4x+1)(x+5)=(4x+1)(3x+2).​

Answer 1

Ответ:

x1 = - $\frac{1}{4}$ ; x2 = $\frac{3}{2}$

Пошаговое объяснение:

(4x+1)(x+5)=(4x+1)(3x+2)
4$x^{2}$ + 20x + x + 5 = 12$x^{2}$ + 8x + 3x + 2

4$x^{2}$ + 21x + 5 = 12$x^{2}$ + 11x + 2
4$x^{2}$ + 21x + 5 - 12$x^{2}$ - 11x - 2 = 0
-8$x^{2}$ + 10x + 3 = 0
8$x^{2}$ - 10x - 3 = 0
8$x^{2}$ - 2x - 12x - 3 = 0
2x * (4x+1) - 3(4x + 1) = 0
(4x + 1) * (2x - 3) = 0
4x + 1 = 0; 2x - 3 = 0
x1 = - $\frac{1}{4}$ ; x2 = $\frac{3}{2}$ или x1 = -0.25; x2 = 1.5

Answer 2

Ответ:

(4x+1)(x+5)=(4x+1)(3x+2)

(4x+1)(x+5)-(4x+1)(3x+2)=0

(4x+1)(x+5-3x-2)=0

(4x+1)(3-2x)=0

4x+1=0

x₁=-1/4

3-2x=0

x₂=1.5

ответ: x₁=-1/4   x₂=1.5

Пошаговое объяснение:

Answer 3

To solve the equation (4x+1)(x+5) = (4x+1)(3x+2), we can start by canceling out the common factor of (4x+1) on both sides of the equation.

Dividing both sides by (4x+1), we have:

(x+5) = (3x+2)

Expanding the equation further, we get:

x + 5 = 3x + 2

Next, we can simplify the equation by isolating the variable x on one side.

Subtracting x from both sides, we have:

5 = 2x + 2

Subtracting 2 from both sides, we get:

3 = 2x

Finally, we can solve for x by dividing both sides by 2:

x = 3/2 or x = 1.5

Therefore, the solutions to the equation (4x+1)(x+5) = (4x+1)(3x+2) are x = 3/2 or x = 1.5.