Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(w−3)(3w+1)
Evaluate
3w2−8w−3
Rewrite the expression
3w2+(1−9)w−3
Calculate
3w2+w−9w−3
Rewrite the expression
w×3w+w−3×3w−3
Factor out w from the expression
w(3w+1)−3×3w−3
Factor out −3 from the expression
w(3w+1)−3(3w+1)
Solution
(w−3)(3w+1)
Show Solution
Find the roots
w1=−31,w2=3
Alternative Form
w1=−0.3˙,w2=3
Evaluate
3w2−8w−3
To find the roots of the expression,set the expression equal to 0
3w2−8w−3=0
Factor the expression
More Steps
Evaluate
3w2−8w−3
Rewrite the expression
3w2+(1−9)w−3
Calculate
3w2+w−9w−3
Rewrite the expression
w×3w+w−3×3w−3
Factor out w from the expression
w(3w+1)−3×3w−3
Factor out −3 from the expression
w(3w+1)−3(3w+1)
Factor out 3w+1 from the expression
(w−3)(3w+1)
(w−3)(3w+1)=0
When the product of factors equals 0,at least one factor is 0
w−3=03w+1=0
Solve the equation for w
More Steps
Evaluate
w−3=0
Move the constant to the right-hand side and change its sign
w=0+3
Removing 0 doesn't change the value,so remove it from the expression
w=3
w=33w+1=0
Solve the equation for w
More Steps
Evaluate
3w+1=0
Move the constant to the right-hand side and change its sign
3w=0−1
Removing 0 doesn't change the value,so remove it from the expression
3w=−1
Divide both sides
33w=3−1
Divide the numbers
w=3−1
Use b−a=−ba=−ba to rewrite the fraction
w=−31
w=3w=−31
Solution
w1=−31,w2=3
Alternative Form
w1=−0.3˙,w2=3
Show Solution