Question

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

Answer 1

(3х+4)(4х-3)-3х=(2х+5)(6х-7)

3х+4+4х-3-3х=2х+5+6х-7

3х+4х-3х+4-3=2х+6х+5-7

4х+1=8х-2

4х-8х=-2-1

-4х=-3

х=3/4

х=0,75

Answer 2

Let's simplify the equation step by step:

First, let's expand the left side of the equation:

(3x+4)(4x-3)-3x = 12x^2 - 9x + 16x - 12 - 3x

Simplifying this gives us:

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

Next, let's expand the right side of the equation:

(2x+5)(6x-7) = 12x^2 - 14x + 30x - 35

Simplifying this gives us:

12x^2 + 16x - 35 = 12x^2 + 7x - 12

Now, we can simplify further:

9x - 35 = 0

Solving for x, we get:

x = 35/9

Therefore, the solution to the equation (3x+4)(4x-3)-3x=(2x+5)(6x-7) is x = 35/9.