Question

(4x-1)(4x+1)-8x(2x+3)=25

Answer 1

Ответ:

16x^2-1-16x^2-24x=25     (первые две скобки- разность квадратов)

-24x-1=25

-24x=26

x=$-\frac{26}{24} =-\frac{13}{12}$

Answer 2

To solve the given equation, let's simplify the expression on the left-hand side first:

(4x - 1)(4x + 1) - 8x(2x + 3) = 25

Expanding the products:

(16x^2 - 1) - (16x^2 + 24x) = 25

Remove the parentheses and combine like terms:

16x^2 - 1 - 16x^2 - 24x = 25

Simplifying further:

-24x - 1 = 25

Add 1 to both sides:

-24x = 26

Now, divide both sides by -24:

x = 26 / -24

Simplifying the fraction:

x = -13 / 12

Therefore, the solution to the equation is x = -13/12.