Solve 6^2+8^2=dx/2

$$6 ^ { 2 } + 8 ^ { 2 } = \frac { d x } { 2 }$$

Solve for d

$$d=\frac{200}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2\times 6^{2}+2\times 8^{2}=dx$$

Calculate 6 to the power of 2 and get 36.

$$2\times 36+2\times 8^{2}=dx$$

Multiply 2 and 36 to get 72.

$$72+2\times 8^{2}=dx$$

Calculate 8 to the power of 2 and get 64.

$$72+2\times 64=dx$$

Multiply 2 and 64 to get 128.

$$72+128=dx$$

Add 72 and 128 to get 200.

$$200=dx$$

Swap sides so that all variable terms are on the left hand side.

$$dx=200$$

The equation is in standard form.

$$xd=200$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{200}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{200}{x}$$

Solve for x

$$x=\frac{200}{d}$$

$$d\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2\times 6^{2}+2\times 8^{2}=dx$$

Calculate 6 to the power of 2 and get 36.

$$2\times 36+2\times 8^{2}=dx$$

Multiply 2 and 36 to get 72.

$$72+2\times 8^{2}=dx$$

Calculate 8 to the power of 2 and get 64.

$$72+2\times 64=dx$$

Multiply 2 and 64 to get 128.

$$72+128=dx$$

Add 72 and 128 to get 200.

$$200=dx$$

Swap sides so that all variable terms are on the left hand side.

$$dx=200$$

Divide both sides by d.

$$\frac{dx}{d}=\frac{200}{d}$$

Dividing by d undoes the multiplication by d.

$$x=\frac{200}{d}$$