Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3(x−3)(3x+1)
Evaluate
9x2−24x−9
Rewrite the expression
3×3x2−3×8x−3×3
Factor out 3 from the expression
3(3x2−8x−3)
Solution
More Steps
Evaluate
3x2−8x−3
Rewrite the expression
3x2+(1−9)x−3
Calculate
3x2+x−9x−3
Rewrite the expression
x×3x+x−3×3x−3
Factor out x from the expression
x(3x+1)−3×3x−3
Factor out −3 from the expression
x(3x+1)−3(3x+1)
Factor out 3x+1 from the expression
(x−3)(3x+1)
3(x−3)(3x+1)
Show Solution
Find the roots
x1=−31,x2=3
Alternative Form
x1=−0.3˙,x2=3
Evaluate
9x2−24x−9
To find the roots of the expression,set the expression equal to 0
9x2−24x−9=0
Factor the expression
More Steps
Evaluate
9x2−24x−9
Rewrite the expression
3×3x2−3×8x−3×3
Factor out 3 from the expression
3(3x2−8x−3)
Factor the expression
More Steps
Evaluate
3x2−8x−3
Rewrite the expression
3x2+(1−9)x−3
Calculate
3x2+x−9x−3
Rewrite the expression
x×3x+x−3×3x−3
Factor out x from the expression
x(3x+1)−3×3x−3
Factor out −3 from the expression
x(3x+1)−3(3x+1)
Factor out 3x+1 from the expression
(x−3)(3x+1)
3(x−3)(3x+1)
3(x−3)(3x+1)=0
Divide the terms
(x−3)(3x+1)=0
When the product of factors equals 0,at least one factor is 0
x−3=03x+1=0
Solve the equation for x
More Steps
Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=33x+1=0
Solve the equation for x
More Steps
Evaluate
3x+1=0
Move the constant to the right-hand side and change its sign
3x=0−1
Removing 0 doesn't change the value,so remove it from the expression
3x=−1
Divide both sides
33x=3−1
Divide the numbers
x=3−1
Use b−a=−ba=−ba to rewrite the fraction
x=−31
x=3x=−31
Solution
x1=−31,x2=3
Alternative Form
x1=−0.3˙,x2=3
Show Solution