Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
4(u−17)(u+1)
Evaluate
4u2−64u−68
Rewrite the expression
4u2−4×16u−4×17
Factor out 4 from the expression
4(u2−16u−17)
Solution
More Steps
Evaluate
u2−16u−17
Rewrite the expression
u2+(1−17)u−17
Calculate
u2+u−17u−17
Rewrite the expression
u×u+u−17u−17
Factor out u from the expression
u(u+1)−17u−17
Factor out −17 from the expression
u(u+1)−17(u+1)
Factor out u+1 from the expression
(u−17)(u+1)
4(u−17)(u+1)
Show Solution
Find the roots
u1=−1,u2=17
Evaluate
4u2−64u−68
To find the roots of the expression,set the expression equal to 0
4u2−64u−68=0
Factor the expression
More Steps
Evaluate
4u2−64u−68
Rewrite the expression
4u2−4×16u−4×17
Factor out 4 from the expression
4(u2−16u−17)
Factor the expression
More Steps
Evaluate
u2−16u−17
Rewrite the expression
u2+(1−17)u−17
Calculate
u2+u−17u−17
Rewrite the expression
u×u+u−17u−17
Factor out u from the expression
u(u+1)−17u−17
Factor out −17 from the expression
u(u+1)−17(u+1)
Factor out u+1 from the expression
(u−17)(u+1)
4(u−17)(u+1)
4(u−17)(u+1)=0
Divide the terms
(u−17)(u+1)=0
When the product of factors equals 0,at least one factor is 0
u−17=0u+1=0
Solve the equation for u
More Steps
Evaluate
u−17=0
Move the constant to the right-hand side and change its sign
u=0+17
Removing 0 doesn't change the value,so remove it from the expression
u=17
u=17u+1=0
Solve the equation for u
More Steps
Evaluate
u+1=0
Move the constant to the right-hand side and change its sign
u=0−1
Removing 0 doesn't change the value,so remove it from the expression
u=−1
u=17u=−1
Solution
u1=−1,u2=17
Show Solution