((2X)/(4pi))+((1-x)/2)=0, solve for x
x / (2 pi) -x/2 = -1/2
x/(2 pi) - (2 pi) x/(2 pi) = -1/2
x(1-2pi)= -pi
x = pi/(2 pi - 1)
To solve the equation ((2x)/(4π))+((1-x)/2) = 0 for x, we will follow a step-by-step process:
Step 1: First, let's simplify the equation by multiplying through by the common denominator, which is 4π:
(4π)*((2x)/(4π)) + (4π)*((1-x)/2) = (4π)*0
Simplifying the equation further, we have:
2xπ + 2π(1-x) = 0
Step 2: Distribute the terms on the left side of the equation:
2xπ + 2π - 2πx = 0
Step 3: Combine like terms:
2xπ - 2πx = -2π
Step 4: Factor out the common factor (2π) on the left side of the equation:
2π(x - x) = -2π
Step 5: Simplify the equation:
0 = -2π
Step 6: Since 0 and -2π are not equal, there is no solution to the equation ((2x)/(4π))+((1-x)/2) = 0.
Therefore, the equation has no solution for x.