Solve 2000=75t+75^2/2

$$2000 = 75 t + \frac { 75 ^ { 2 } } { 2 }$$

Solve for t

$$t = -\frac{65}{6} = -10\frac{5}{6} \approx -10.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$4000=150t+75^{2}$$

Calculate 75 to the power of 2 and get 5625.

$$4000=150t+5625$$

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

$$150t+5625=4000$$

Subtract 5625 from both sides.

$$150t=4000-5625$$

Subtract 5625 from 4000 to get -1625.

$$150t=-1625$$

Divide both sides by 150.

$$t=\frac{-1625}{150}$$

Reduce the fraction \frac{-1625}{150} to lowest terms by extracting and canceling out 25.

$$t=-\frac{65}{6}$$