Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
3(v−10)(v+1)
Evaluate
3v2−27v−30
Rewrite the expression
3v2−3×9v−3×10
Factor out 3 from the expression
3(v2−9v−10)
Solution
More Steps
Evaluate
v2−9v−10
Rewrite the expression
v2+(1−10)v−10
Calculate
v2+v−10v−10
Rewrite the expression
v×v+v−10v−10
Factor out v from the expression
v(v+1)−10v−10
Factor out −10 from the expression
v(v+1)−10(v+1)
Factor out v+1 from the expression
(v−10)(v+1)
3(v−10)(v+1)
Show Solution
Find the roots
v1=−1,v2=10
Evaluate
3v2−27v−30
To find the roots of the expression,set the expression equal to 0
3v2−27v−30=0
Factor the expression
More Steps
Evaluate
3v2−27v−30
Rewrite the expression
3v2−3×9v−3×10
Factor out 3 from the expression
3(v2−9v−10)
Factor the expression
More Steps
Evaluate
v2−9v−10
Rewrite the expression
v2+(1−10)v−10
Calculate
v2+v−10v−10
Rewrite the expression
v×v+v−10v−10
Factor out v from the expression
v(v+1)−10v−10
Factor out −10 from the expression
v(v+1)−10(v+1)
Factor out v+1 from the expression
(v−10)(v+1)
3(v−10)(v+1)
3(v−10)(v+1)=0
Divide the terms
(v−10)(v+1)=0
When the product of factors equals 0,at least one factor is 0
v−10=0v+1=0
Solve the equation for v
More Steps
Evaluate
v−10=0
Move the constant to the right-hand side and change its sign
v=0+10
Removing 0 doesn't change the value,so remove it from the expression
v=10
v=10v+1=0
Solve the equation for v
More Steps
Evaluate
v+1=0
Move the constant to the right-hand side and change its sign
v=0−1
Removing 0 doesn't change the value,so remove it from the expression
v=−1
v=10v=−1
Solution
v1=−1,v2=10
Show Solution