Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
11q−q2−30
Evaluate
(q−5)(6−q)
Apply the distributive property
q×6−q×q−5×6−(−5q)
Use the commutative property to reorder the terms
6q−q×q−5×6−(−5q)
Multiply the terms
6q−q2−5×6−(−5q)
Multiply the numbers
6q−q2−30−(−5q)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6q−q2−30+5q
Solution
More Steps
Evaluate
6q+5q
Collect like terms by calculating the sum or difference of their coefficients
(6+5)q
Add the numbers
11q
11q−q2−30
Show Solution
Find the roots
q1=5,q2=6
Evaluate
(q−5)(6−q)
To find the roots of the expression,set the expression equal to 0
(q−5)(6−q)=0
Separate the equation into 2 possible cases
q−5=06−q=0
Solve the equation
More Steps
Evaluate
q−5=0
Move the constant to the right-hand side and change its sign
q=0+5
Removing 0 doesn't change the value,so remove it from the expression
q=5
q=56−q=0
Solve the equation
More Steps
Evaluate
6−q=0
Move the constant to the right-hand side and change its sign
−q=0−6
Removing 0 doesn't change the value,so remove it from the expression
−q=−6
Change the signs on both sides of the equation
q=6
q=5q=6
Solution
q1=5,q2=6
Show Solution