Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
6(x−10)(x+2)
Evaluate
6x2−48x−120
Rewrite the expression
6x2−6×8x−6×20
Factor out 6 from the expression
6(x2−8x−20)
Solution
More Steps
Evaluate
x2−8x−20
Rewrite the expression
x2+(2−10)x−20
Calculate
x2+2x−10x−20
Rewrite the expression
x×x+x×2−10x−10×2
Factor out x from the expression
x(x+2)−10x−10×2
Factor out −10 from the expression
x(x+2)−10(x+2)
Factor out x+2 from the expression
(x−10)(x+2)
6(x−10)(x+2)
Show Solution
Find the roots
x1=−2,x2=10
Evaluate
6x2−48x−120
To find the roots of the expression,set the expression equal to 0
6x2−48x−120=0
Factor the expression
More Steps
Evaluate
6x2−48x−120
Rewrite the expression
6x2−6×8x−6×20
Factor out 6 from the expression
6(x2−8x−20)
Factor the expression
More Steps
Evaluate
x2−8x−20
Rewrite the expression
x2+(2−10)x−20
Calculate
x2+2x−10x−20
Rewrite the expression
x×x+x×2−10x−10×2
Factor out x from the expression
x(x+2)−10x−10×2
Factor out −10 from the expression
x(x+2)−10(x+2)
Factor out x+2 from the expression
(x−10)(x+2)
6(x−10)(x+2)
6(x−10)(x+2)=0
Divide the terms
(x−10)(x+2)=0
When the product of factors equals 0,at least one factor is 0
x−10=0x+2=0
Solve the equation for x
More Steps
Evaluate
x−10=0
Move the constant to the right-hand side and change its sign
x=0+10
Removing 0 doesn't change the value,so remove it from the expression
x=10
x=10x+2=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=10x=−2
Solution
x1=−2,x2=10
Show Solution