Question Simplify the expression 40q−15q2 Evaluate 5q(8−3q)Apply the distributive property 5q×8−5q×3qMultiply the numbers 40q−5q×3qSolution More Steps Evaluate 5q×3qMultiply the numbers 15q×qMultiply the terms 15q2 40q−15q2 Show Solution Find the roots q1=0,q2=38Alternative Form q1=0,q2=2.6˙ Evaluate 5q(8−3q)To find the roots of the expression,set the expression equal to 0 5q(8−3q)=0Elimination the left coefficient q(8−3q)=0Separate the equation into 2 possible cases q=08−3q=0Solve the equation More Steps Evaluate 8−3q=0Move the constant to the right-hand side and change its sign −3q=0−8Removing 0 doesn't change the value,so remove it from the expression −3q=−8Change the signs on both sides of the equation 3q=8Divide both sides 33q=38Divide the numbers q=38 q=0q=38Solution q1=0,q2=38Alternative Form q1=0,q2=2.6˙ Show Solution