Question

X(0.25x-3)-(0.5x+1)(0.5x-1)=0

Answer 1

x(0.25x-3)-(0.5x+1)(0.5x-1)=0

0.25x^2-3x-(0.25x^2-0.5+0.5x-1)=0

0.25x^2-3x-0.25x^2+0.5-0.5x+1=0

-3x+0.5-0.5x+1=0

-3.5x+1.5=0 | *(-10)

35x-15=0

35x=15

x=15\35=3\7

Answer 2

To solve the given equation, follow these steps:

Step 1: Distribute and simplify the expression:

X(0.25x - 3) - (0.5x + 1)(0.5x - 1) = 0

Expand the expressions in the parentheses:

0.25x^2 - 3x - (0.25x^2 - 0.5x - 0.5x + 1) = 0

Simplify further:

0.25x^2 - 3x - (0.25x^2 - x + 1) = 0

Step 2: Remove the parentheses:

0.25x^2 - 3x - 0.25x^2 + x - 1 = 0

Step 3: Combine like terms:

(0.25x^2 - 0.25x^2) + (-3x + x) - 1 = 0

0x - 2x - 1 = 0

Step 4: Solve for 'x':

-2x - 1 = 0

Add 1 to both sides:

-2x = 1

Now, divide both sides by -2:

x = -1/2

The solution to the equation is x = -1/2.