Solve 50^2=30^2+(100^2-x)

$${ 50 }^{ 2 } = { 30 }^{ 2 } +( { 100 }^{ 2 } -x)$$

Solve for x

$$x=8400$$

Steps for Solving Linear Equation

Calculate 50 to the power of 2 and get 2500.

$$2500=30^{2}+100^{2}-x$$

Calculate 30 to the power of 2 and get 900.

$$2500=900+100^{2}-x$$

Calculate 100 to the power of 2 and get 10000.

$$2500=900+10000-x$$

Add 900 and 10000 to get 10900.

$$2500=10900-x$$

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

$$10900-x=2500$$

Subtract 10900 from both sides.

$$-x=2500-10900$$

Subtract 10900 from 2500 to get -8400.

$$-x=-8400$$

Multiply both sides by -1.

$$x=8400$$