Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(k−1)(k+7)
Evaluate
k2+6k−7
Rewrite the expression
k2+(7−1)k−7
Calculate
k2+7k−k−7
Rewrite the expression
k×k+k×7−k−7
Factor out k from the expression
k(k+7)−k−7
Factor out −1 from the expression
k(k+7)−(k+7)
Solution
(k−1)(k+7)
Show Solution
Find the roots
k1=−7,k2=1
Evaluate
k2+6k−7
To find the roots of the expression,set the expression equal to 0
k2+6k−7=0
Factor the expression
More Steps
Evaluate
k2+6k−7
Rewrite the expression
k2+(7−1)k−7
Calculate
k2+7k−k−7
Rewrite the expression
k×k+k×7−k−7
Factor out k from the expression
k(k+7)−k−7
Factor out −1 from the expression
k(k+7)−(k+7)
Factor out k+7 from the expression
(k−1)(k+7)
(k−1)(k+7)=0
When the product of factors equals 0,at least one factor is 0
k−1=0k+7=0
Solve the equation for k
More Steps
Evaluate
k−1=0
Move the constant to the right-hand side and change its sign
k=0+1
Removing 0 doesn't change the value,so remove it from the expression
k=1
k=1k+7=0
Solve the equation for k
More Steps
Evaluate
k+7=0
Move the constant to the right-hand side and change its sign
k=0−7
Removing 0 doesn't change the value,so remove it from the expression
k=−7
k=1k=−7
Solution
k1=−7,k2=1
Show Solution