Algebra
Calculus
Trigonometry
Matrix
Question
(x−5)(x−4)
Simplify the expression
x2−9x+20
Evaluate
(x−5)(x−4)
Apply the distributive property
x×x−x×4−5x−(−5×4)
Multiply the terms
x2−x×4−5x−(−5×4)
Use the commutative property to reorder the terms
x2−4x−5x−(−5×4)
Multiply the numbers
x2−4x−5x−(−20)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−4x−5x+20
Solution
More Steps
Evaluate
−4x−5x
Collect like terms by calculating the sum or difference of their coefficients
(−4−5)x
Subtract the numbers
−9x
x2−9x+20
Show Solution
Find the roots
x1=4,x2=5
Evaluate
(x−5)(x−4)
To find the roots of the expression,set the expression equal to 0
(x−5)(x−4)=0
Separate the equation into 2 possible cases
x−5=0x−4=0
Solve the equation
More Steps
Evaluate
x−5=0
Move the constant to the right-hand side and change its sign
x=0+5
Removing 0 doesn't change the value,so remove it from the expression
x=5
x=5x−4=0
Solve the equation
More Steps
Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=5x=4
Solution
x1=4,x2=5
Show Solution