Question

2 (x + 3) (x + 1) + 8 = (2x + 1) (x + 5).​

Answer 1

Я решила на два варианта не знаю как правильнее, может кто-то из видящих подскажет, но у меня вышло так: 2х²+8х+14=2х²+11х+5 или 4х²+16=2х²+11х+5

Пожалуйста, может я где-то ошибаюсь исправьте меня

Answer 2

Надеюсь всё понятно)

Answer 3

To solve the given equation, we'll start by expanding both sides and then simplifying the equation to find the value(s) of 'x' that satisfy the equation.

Given equation: $2(x + 3)(x + 1) + 8 = (2x + 1)(x + 5)$

Step 1: Expand both sides of the equation:

Left side: $2(x + 3)(x + 1) + 8 = 2(x^2 + x + 3x + 3) + 8 = 2(x^2 + 4x + 3) + 8 = 2x^2 + 8x + 6 + 8 = 2x^2 + 8x + 14$

Right side: $(2x + 1)(x + 5) = 2x(x + 5) + 1(x + 5) = 2x^2 + 10x + x + 5 = 2x^2 + 11x + 5$

Step 2: Rewrite the equation with the expanded expressions:

$2x^2 + 8x + 14 = 2x^2 + 11x + 5$

Step 3: Subtract $2x^2$ from both sides of the equation to eliminate the quadratic terms:

$8x + 14 = 11x + 5$

Step 4: Subtract $8x$ from both sides of the equation to isolate the $x$ terms on one side:

$14 = 3x + 5$

Step 5: Subtract 5 from both sides of the equation:

$9 = 3x$

Step 6: Divide both sides by 3 to solve for $x$:

$x = \frac{9}{3} = 3$

So, the solution to the given equation is $x = 3$.