-8xy+4x+1=0-এর সমাধান করুন

$$- 8 x y + 4 x + 1 = 0$$

Solve for x

$$x=-\frac{1}{4\left(1-2y\right)}$$

$$y\neq \frac{1}{2}$$

Steps for Solving Linear Equation

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-8xy+4x=-1$$

Combine all terms containing x.

$$\left(-8y+4\right)x=-1$$

The equation is in standard form.

$$\left(4-8y\right)x=-1$$

Divide both sides by -8y+4.

$$\frac{\left(4-8y\right)x}{4-8y}=-\frac{1}{4-8y}$$

Dividing by -8y+4 undoes the multiplication by -8y+4.

$$x=-\frac{1}{4-8y}$$

Divide -1 by -8y+4.

$$x=-\frac{1}{4\left(1-2y\right)}$$

Solve for y

$$y=\frac{1}{2}+\frac{1}{8x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 4x from both sides. Anything subtracted from zero gives its negation.

$$-8xy+1=-4x$$

Subtract 1 from both sides.

$$-8xy=-4x-1$$

The equation is in standard form.

$$\left(-8x\right)y=-4x-1$$

Divide both sides by -8x.

$$\frac{\left(-8x\right)y}{-8x}=\frac{-4x-1}{-8x}$$

Dividing by -8x undoes the multiplication by -8x.

$$y=\frac{-4x-1}{-8x}$$

Divide -4x-1 by -8x.

$$y=\frac{1}{2}+\frac{1}{8x}$$