Question

(8x+2)*(2x-1)-16x^2=1

Answer 1

(8x+2)(2x-1)-16x²=1

16х²-8х+4х-2-16х²=1

-4х=2+1

-4х=3

х=3÷(-4)=-3/4=-0,75

Ответ: -0,75.

Answer 2

To solve the equation (8x+2)*(2x-1)-16x^2=1, we'll start by simplifying the left-hand side of the equation and then proceed to solve for x.

Step 1: Distribute the terms within the parentheses:

(8x + 2)*(2x - 1) - 16x^2 = 1

Expand the left-hand side:

(8x)(2x) + (8x)(-1) + (2)(2x) + (2)(-1) - 16x^2 = 1

16x^2 - 8x + 4x - 2 - 16x^2 = 1

Step 2: Combine like terms:

The 16x^2 and -16x^2 terms cancel out:

-8x + 4x - 2 = 1

Step 3: Further simplify the equation:

-4x - 2 = 1

Step 4: Isolate the variable term:

To do this, we'll add 2 to both sides of the equation:

-4x - 2 + 2 = 1 + 2

-4x = 3

Step 5: Solve for x:

To solve for x, we'll divide both sides by -4:

x = 3 / -4

x = -3/4

Therefore, the solution to the equation is x = -3/4.