Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+2)(x+3)
Evaluate
x2+5x+6
Rewrite the expression
x2+(3+2)x+6
Calculate
x2+3x+2x+6
Rewrite the expression
x×x+x×3+2x+2×3
Factor out x from the expression
x(x+3)+2x+2×3
Factor out 2 from the expression
x(x+3)+2(x+3)
Solution
(x+2)(x+3)
Show Solution
Find the roots
x1=−3,x2=−2
Evaluate
x2+5x+6
To find the roots of the expression,set the expression equal to 0
x2+5x+6=0
Factor the expression
More Steps
Evaluate
x2+5x+6
Rewrite the expression
x2+(3+2)x+6
Calculate
x2+3x+2x+6
Rewrite the expression
x×x+x×3+2x+2×3
Factor out x from the expression
x(x+3)+2x+2×3
Factor out 2 from the expression
x(x+3)+2(x+3)
Factor out x+3 from the expression
(x+2)(x+3)
(x+2)(x+3)=0
When the product of factors equals 0,at least one factor is 0
x+2=0x+3=0
Solve the equation for x
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 for x
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