Question
Simplify the expression
x2+5x+6
Evaluate
(x+2)(x+3)
Apply the distributive property
x×x+x×3+2x+2×3
Multiply the terms
x2+x×3+2x+2×3
Use the commutative property to reorder the terms
x2+3x+2x+2×3
Multiply the numbers
x2+3x+2x+6
Solution
More Steps
Evaluate
3x+2x
Collect like terms by calculating the sum or difference of their coefficients
(3+2)x
Add the numbers
5x
x2+5x+6
Show Solution
Find the roots
x1=−3,x2=−2
Evaluate
(x+2)(x+3)
To find the roots of the expression,set the expression equal to 0
(x+2)(x+3)=0
Separate the equation into 2 possible cases
x+2=0x+3=0
Solve the equation
More Steps
Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=−2x+3=0
Solve the equation
More Steps
Evaluate
x+3=0
Move the constant to the right-hand side and change its sign
x=0−3
Removing 0 doesn't change the value,so remove it from the expression
x=−3
x=−2x=−3
Solution
x1=−3,x2=−2
Show Solution