Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+6)(x+8)
Evaluate
x2+14x+48
Rewrite the expression
x2+(8+6)x+48
Calculate
x2+8x+6x+48
Rewrite the expression
x×x+x×8+6x+6×8
Factor out x from the expression
x(x+8)+6x+6×8
Factor out 6 from the expression
x(x+8)+6(x+8)
Solution
(x+6)(x+8)
Show Solution
Find the roots
x1=−8,x2=−6
Evaluate
x2+14x+48
To find the roots of the expression,set the expression equal to 0
x2+14x+48=0
Factor the expression
More Steps
Evaluate
x2+14x+48
Rewrite the expression
x2+(8+6)x+48
Calculate
x2+8x+6x+48
Rewrite the expression
x×x+x×8+6x+6×8
Factor out x from the expression
x(x+8)+6x+6×8
Factor out 6 from the expression
x(x+8)+6(x+8)
Factor out x+8 from the expression
(x+6)(x+8)
(x+6)(x+8)=0
When the product of factors equals 0,at least one factor is 0
x+6=0x+8=0
Solve the equation for x
More Steps
Evaluate
x+6=0
Move the constant to the right-hand side and change its sign
x=0−6
Removing 0 doesn't change the value,so remove it from the expression
x=−6
x=−6x+8=0
Solve the equation for x
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=−6x=−8
Solution
x1=−8,x2=−6
Show Solution