Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
5(x−8)(x+6)
Evaluate
5x2−10x−240
Rewrite the expression
5x2−5×2x−5×48
Factor out 5 from the expression
5(x2−2x−48)
Solution
More Steps
Evaluate
x2−2x−48
Rewrite the expression
x2+(6−8)x−48
Calculate
x2+6x−8x−48
Rewrite the expression
x×x+x×6−8x−8×6
Factor out x from the expression
x(x+6)−8x−8×6
Factor out −8 from the expression
x(x+6)−8(x+6)
Factor out x+6 from the expression
(x−8)(x+6)
5(x−8)(x+6)
Show Solution
Find the roots
x1=−6,x2=8
Evaluate
5x2−10x−240
To find the roots of the expression,set the expression equal to 0
5x2−10x−240=0
Factor the expression
More Steps
Evaluate
5x2−10x−240
Rewrite the expression
5x2−5×2x−5×48
Factor out 5 from the expression
5(x2−2x−48)
Factor the expression
More Steps
Evaluate
x2−2x−48
Rewrite the expression
x2+(6−8)x−48
Calculate
x2+6x−8x−48
Rewrite the expression
x×x+x×6−8x−8×6
Factor out x from the expression
x(x+6)−8x−8×6
Factor out −8 from the expression
x(x+6)−8(x+6)
Factor out x+6 from the expression
(x−8)(x+6)
5(x−8)(x+6)
5(x−8)(x+6)=0
Divide the terms
(x−8)(x+6)=0
When the product of factors equals 0,at least one factor is 0
x−8=0x+6=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=8x+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=8x=−6
Solution
x1=−6,x2=8
Show Solution