Question Simplify the expression t2−2000t3 Evaluate t2−40t3×50Solution t2−2000t3 Show Solution Factor the expression t2(1−2000t) Evaluate t2−40t3×50Multiply the terms t2−2000t3Rewrite the expression t2−t2×2000tSolution t2(1−2000t) Show Solution Find the roots t1=0,t2=20001Alternative Form t1=0,t2=0.0005 Evaluate t2−40t3×50To find the roots of the expression,set the expression equal to 0 t2−40t3×50=0Multiply the terms t2−2000t3=0Factor the expression t2(1−2000t)=0Separate the equation into 2 possible cases t2=01−2000t=0The only way a power can be 0 is when the base equals 0 t=01−2000t=0Solve the equation More Steps Evaluate 1−2000t=0Move the constant to the right-hand side and change its sign −2000t=0−1Removing 0 doesn't change the value,so remove it from the expression −2000t=−1Change the signs on both sides of the equation 2000t=1Divide both sides 20002000t=20001Divide the numbers t=20001 t=0t=20001Solution t1=0,t2=20001Alternative Form t1=0,t2=0.0005 Show Solution