Solve 1000(t-100)+3000(t-20)=0

$$1000 ( t - 100 ) + 3000 ( t - 20 ) = 0$$

Solve for t

$$t=40$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1000 by t-100.

$$1000t-100000+3000\left(t-20\right)=0$$

Use the distributive property to multiply 3000 by t-20.

$$1000t-100000+3000t-60000=0$$

Combine 1000t and 3000t to get 4000t.

$$4000t-100000-60000=0$$

Subtract 60000 from -100000 to get -160000.

$$4000t-160000=0$$

Add 160000 to both sides. Anything plus zero gives itself.

$$4000t=160000$$

Divide both sides by 4000.

$$t=\frac{160000}{4000}$$

Divide 160000 by 4000 to get 40.

$$t=40$$