Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−23x+120
Evaluate
(x−15)(x−8)
Apply the distributive property
x×x−x×8−15x−(−15×8)
Multiply the terms
x2−x×8−15x−(−15×8)
Use the commutative property to reorder the terms
x2−8x−15x−(−15×8)
Multiply the numbers
x2−8x−15x−(−120)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x2−8x−15x+120
Solution
More Steps
Evaluate
−8x−15x
Collect like terms by calculating the sum or difference of their coefficients
(−8−15)x
Subtract the numbers
−23x
x2−23x+120
Show Solution
Find the roots
x1=8,x2=15
Evaluate
(x−15)(x−8)
To find the roots of the expression,set the expression equal to 0
(x−15)(x−8)=0
Separate the equation into 2 possible cases
x−15=0x−8=0
Solve the equation
More Steps
Evaluate
x−15=0
Move the constant to the right-hand side and change its sign
x=0+15
Removing 0 doesn't change the value,so remove it from the expression
x=15
x=15x−8=0
Solve the equation
More Steps
Evaluate
x−8=0
Move the constant to the right-hand side and change its sign
x=0+8
Removing 0 doesn't change the value,so remove it from the expression
x=8
x=15x=8
Solution
x1=8,x2=15
Show Solution