Question

(4x + 5)(2x - 1) - (3x + 2)(2x - 3) + (x + 6)(7 - 2x) = 1.

Answer 1

Ответ:

х=-7

Объяснение:

где *2 это в квадрате ( во второй степени)

(4x + 5)(2x - 1) - (3x + 2)(2x - 3) + (x + 6)(7 - 2x) = 1=

8х*2-4х+10х-5-(6х*2-9х+4х-6)+7х-2х*2+42-12х=1=

8х*2-4+10х-5-(6х*2-5х-6)+7х-2х*2+42-12х=1=

8х*2-4х+10х-5-6х*2+5х+6+7х-2х*2+42-12х=1

0+6х+43=1=

6х+43=1=

6х=1-43=

6х=-42=

х=-42:6=

х=-7

Answer 2

To solve the equation:

(4x + 5)(2x - 1) - (3x + 2)(2x - 3) + (x + 6)(7 - 2x) = 1,

we will expand each term using the distributive property and then simplify.

Expanding the first term:

(4x + 5)(2x - 1) = 4x * 2x + 4x * (-1) + 5 * 2x + 5 * (-1) = 8x^2 - 4x + 10x - 5 = 8x^2 + 6x - 5.

Expanding the second term:

(3x + 2)(2x - 3) = 3x * 2x + 3x * (-3) + 2 * 2x + 2 * (-3) = 6x^2 - 9x + 4x - 6 = 6x^2 - 5x - 6.

Expanding the third term:

(x + 6)(7 - 2x) = x * 7 + x * (-2x) + 6 * 7 + 6 * (-2x) = 7x - 2x^2 + 42 - 12x = -2x^2 - 5x + 42.

Now substituting the expanded expressions back into the original equation:

(8x^2 + 6x - 5) - (6x^2 - 5x - 6) + (-2x^2 - 5x + 42) = 1.

Simplifying further:

8x^2 + 6x - 5 - 6x^2 + 5x + 6 - 2x^2 - 5x + 42 = 1.

Combine like terms:

(8x^2 - 6x^2 - 2x^2) + (6x + 5x - 5x) + (6 + 42 - 1) = 1.

Simplify:

0x^2 + 6x + 47 = 1.

Simplify further:

6x + 47 = 1.

Subtract 47 from both sides:

6x = 1 - 47.

Simplify:

6x = -46.

Divide both sides by 6:

x = -46/6.

Simplifying the fraction:

x = -23/3.

So the solution to the equation is x = -23/3.