Solve x2+6x-2z=2^23/23

$$x2+6x-2z = \frac{ { 2 }^{ 23 } }{ 23 }$$

Solve for x

$$x=\frac{z}{3}-\frac{x_{2}}{6}+\frac{4194304}{69}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 23.

$$23x_{2}+138x-46z=2^{23}$$

Calculate 2 to the power of 23 and get 8388608.

$$23x_{2}+138x-46z=8388608$$

Subtract 23x_{2} from both sides.

$$138x-46z=8388608-23x_{2}$$

Add 46z to both sides.

$$138x=8388608-23x_{2}+46z$$

The equation is in standard form.

$$138x=8388608+46z-23x_{2}$$

Divide both sides by 138.

$$\frac{138x}{138}=\frac{8388608+46z-23x_{2}}{138}$$

Dividing by 138 undoes the multiplication by 138.

$$x=\frac{8388608+46z-23x_{2}}{138}$$

Divide 8388608-23x_{2}+46z by 138.

$$x=\frac{z}{3}-\frac{x_{2}}{6}+\frac{4194304}{69}$$

Solve for x_2

$$x_{2}=\frac{8388608}{23}+2z-6x$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 23.

$$23x_{2}+138x-46z=2^{23}$$

Calculate 2 to the power of 23 and get 8388608.

$$23x_{2}+138x-46z=8388608$$

Subtract 138x from both sides.

$$23x_{2}-46z=8388608-138x$$

Add 46z to both sides.

$$23x_{2}=8388608-138x+46z$$

The equation is in standard form.

$$23x_{2}=8388608+46z-138x$$

Divide both sides by 23.

$$\frac{23x_{2}}{23}=\frac{8388608+46z-138x}{23}$$

Dividing by 23 undoes the multiplication by 23.

$$x_{2}=\frac{8388608+46z-138x}{23}$$

Divide 8388608-138x+46z by 23.

$$x_{2}=\frac{8388608}{23}+2z-6x$$