Solve 8^2=4^2+2(x)(10)

$${ 8 }^{ 2 } = { 4 }^{ 2 } +2(x)(10)$$

Solve for x

$$x = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

Calculate 8 to the power of 2 and get 64.

$$64=4^{2}+2x\times 10$$

Calculate 4 to the power of 2 and get 16.

$$64=16+2x\times 10$$

Multiply 2 and 10 to get 20.

$$64=16+20x$$

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

$$16+20x=64$$

Subtract 16 from both sides.

$$20x=64-16$$

Subtract 16 from 64 to get 48.

$$20x=48$$

Divide both sides by 20.

$$x=\frac{48}{20}$$

Reduce the fraction \frac{48}{20} to lowest terms by extracting and canceling out 4.

$$x=\frac{12}{5}$$