Question

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

Answer 1

Приложение photomath

Answer 2

To solve the equation (3x + 4)(4x - 3) - 5 = (2x + 5)(6x - 7), follow these steps:

Step 1: Expand both sides of the equation.

On the left side, expand (3x + 4)(4x - 3): (3x + 4)(4x - 3) = 12x^2 - 9x + 16x - 12

Simplify the left side: 12x^2 + 7x - 12

On the right side, expand (2x + 5)(6x - 7): (2x + 5)(6x - 7) = 12x^2 - 14x + 30x - 35

Simplify the right side: 12x^2 + 16x - 35

So the equation becomes: 12x^2 + 7x - 12 - 5 = 12x^2 + 16x - 35

Step 2: Simplify both sides of the equation further.

Combine like terms on each side:

On the left side: 12x^2 + 7x - 12 - 5 simplifies to 12x^2 + 7x - 17.

On the right side: 12x^2 + 16x - 35 remains the same.

So, the equation now is: 12x^2 + 7x - 17 = 12x^2 + 16x - 35

Step 3: Subtract 12x^2 from both sides to eliminate the quadratic term:

(12x^2 + 7x - 17) - (12x^2 + 16x - 35) = 0

Now, simplify both sides:

(12x^2 - 12x^2) + (7x - 16x) + (-17 + 35) = 0

0x - 9x + 18 = 0

Step 4: Simplify further:

-9x + 18 = 0

Step 5: Subtract 18 from both sides to isolate the variable x:

-9x = -18

Step 6: Divide both sides by -9 to solve for x:

x = (-18) / (-9)

x = 2

So, the solution to the equation is x = 2.