Question

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

Answer 1

( 3х + 4 ) ( 4х - 3 ) - 3 = ( 2х + 5 ) ( 6х - 7 )
12x²+16x-9x-12-3=12x²-14x+30x-35
7x-15=16x-35
20=9x
x=20/9=2 и 2/9

Answer 2

To solve this equation, we'll first expand both sides and then simplify to find the value of x. Let's go step by step:

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

Expand the left side: (3x + 4)(4x - 3) - 3 = 12x^2 - 9x + 16x - 12 - 3 = 12x^2 + 7x - 15

Expand the right side: (2x + 5)(6x - 7) = 12x^2 - 14x + 30x - 35 = 12x^2 + 16x - 35

Now the equation becomes: 12x^2 + 7x - 15 = 12x^2 + 16x - 35

Subtract 12x^2 from both sides: 7x - 15 = 16x - 35

Subtract 7x from both sides: -15 = 9x - 35

Add 35 to both sides: 20 = 9x

Finally, divide by 9: x = 20 / 9

So, the solution for the equation is x = 20/9.