Solve 4^2:x=32:16

$$4 ^ { 2 } : x = 32 : 16$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 16x, the least common multiple of x,16.

$$16\times 4^{2}=x\times 32$$

Calculate 4 to the power of 2 and get 16.

$$16\times 16=x\times 32$$

Multiply 16 and 16 to get 256.

$$256=x\times 32$$

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

$$x\times 32=256$$

Divide both sides by 32.

$$x=\frac{256}{32}$$

Divide 256 by 32 to get 8.

$$x=8$$