Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(x+2)(x+6)
Evaluate
2x2+16x+24
Rewrite the expression
2x2+2×8x+2×12
Factor out 2 from the expression
2(x2+8x+12)
Solution
More Steps
Evaluate
x2+8x+12
Rewrite the expression
x2+(6+2)x+12
Calculate
x2+6x+2x+12
Rewrite the expression
x×x+x×6+2x+2×6
Factor out x from the expression
x(x+6)+2x+2×6
Factor out 2 from the expression
x(x+6)+2(x+6)
Factor out x+6 from the expression
(x+2)(x+6)
2(x+2)(x+6)
Show Solution
Find the roots
x1=−6,x2=−2
Evaluate
2x2+16x+24
To find the roots of the expression,set the expression equal to 0
2x2+16x+24=0
Factor the expression
More Steps
Evaluate
2x2+16x+24
Rewrite the expression
2x2+2×8x+2×12
Factor out 2 from the expression
2(x2+8x+12)
Factor the expression
More Steps
Evaluate
x2+8x+12
Rewrite the expression
x2+(6+2)x+12
Calculate
x2+6x+2x+12
Rewrite the expression
x×x+x×6+2x+2×6
Factor out x from the expression
x(x+6)+2x+2×6
Factor out 2 from the expression
x(x+6)+2(x+6)
Factor out x+6 from the expression
(x+2)(x+6)
2(x+2)(x+6)
2(x+2)(x+6)=0
Divide the terms
(x+2)(x+6)=0
When the product of factors equals 0,at least one factor is 0
x+2=0x+6=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+6=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=−2x=−6
Solution
x1=−6,x2=−2
Show Solution