Question
Factor the expression
Factor
(x−6)(3x+16)
Evaluate
3x2−2x−96
Rewrite the expression
3x2+(16−18)x−96
Calculate
3x2+16x−18x−96
Rewrite the expression
x×3x+x×16−6×3x−6×16
Factor out x from the expression
x(3x+16)−6×3x−6×16
Factor out −6 from the expression
x(3x+16)−6(3x+16)
Solution
(x−6)(3x+16)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−316,x2=6
Alternative Form
x1=−5.3˙,x2=6
Evaluate
3x2−2x−96
To find the roots of the expression,set the expression equal to 0
3x2−2x−96=0
Factor the expression
More Steps
Evaluate
3x2−2x−96
Rewrite the expression
3x2+(16−18)x−96
Calculate
3x2+16x−18x−96
Rewrite the expression
x×3x+x×16−6×3x−6×16
Factor out x from the expression
x(3x+16)−6×3x−6×16
Factor out −6 from the expression
x(3x+16)−6(3x+16)
Factor out 3x+16 from the expression
(x−6)(3x+16)
(x−6)(3x+16)=0
When the product of factors equals 0,at least one factor is 0
x−6=03x+16=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=63x+16=0
Solve the equation for x
More Steps
Evaluate
3x+16=0
Move the constant to the right-hand side and change its sign
3x=0−16
Removing 0 doesn't change the value,so remove it from the expression
3x=−16
Divide both sides
33x=3−16
Divide the numbers
x=3−16
Use b−a=−ba=−ba to rewrite the fraction
x=−316
x=6x=−316
Solution
x1=−316,x2=6
Alternative Form
x1=−5.3˙,x2=6
Show Solution