Question Simplify the expression Solution −5t2−42t Evaluate −5t2−6t×7Solution −5t2−42t Show Solution Factor the expression Factor −t(5t+42) Evaluate −5t2−6t×7Multiply the terms −5t2−42tRewrite the expression −t×5t−t×42Solution −t(5t+42) Show Solution Find the roots Find the roots of the algebra expression t1=−542,t2=0Alternative Form t1=−8.4,t2=0 Evaluate −5t2−6t×7To find the roots of the expression,set the expression equal to 0 −5t2−6t×7=0Multiply the terms −5t2−42t=0Factor the expression More Steps Evaluate −5t2−42tRewrite the expression −t×5t−t×42Factor out −t from the expression −t(5t+42) −t(5t+42)=0When the product of factors equals 0,at least one factor is 0 −t=05t+42=0Solve the equation for t t=05t+42=0Solve the equation for t More Steps Evaluate 5t+42=0Move the constant to the right-hand side and change its sign 5t=0−42Removing 0 doesn't change the value,so remove it from the expression 5t=−42Divide both sides 55t=5−42Divide the numbers t=5−42Use b−a=−ba=−ba to rewrite the fraction t=−542 t=0t=−542Solution t1=−542,t2=0Alternative Form t1=−8.4,t2=0 Show Solution