Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(n−10)(n+7)
Evaluate
n2−3n−70
Rewrite the expression
n2+(7−10)n−70
Calculate
n2+7n−10n−70
Rewrite the expression
n×n+n×7−10n−10×7
Factor out n from the expression
n(n+7)−10n−10×7
Factor out −10 from the expression
n(n+7)−10(n+7)
Solution
(n−10)(n+7)
Show Solution
Find the roots
n1=−7,n2=10
Evaluate
n2−3n−70
To find the roots of the expression,set the expression equal to 0
n2−3n−70=0
Factor the expression
More Steps
Evaluate
n2−3n−70
Rewrite the expression
n2+(7−10)n−70
Calculate
n2+7n−10n−70
Rewrite the expression
n×n+n×7−10n−10×7
Factor out n from the expression
n(n+7)−10n−10×7
Factor out −10 from the expression
n(n+7)−10(n+7)
Factor out n+7 from the expression
(n−10)(n+7)
(n−10)(n+7)=0
When the product of factors equals 0,at least one factor is 0
n−10=0n+7=0
Solve the equation for n
More Steps
Evaluate
n−10=0
Move the constant to the right-hand side and change its sign
n=0+10
Removing 0 doesn't change the value,so remove it from the expression
n=10
n=10n+7=0
Solve the equation for n
More Steps
Evaluate
n+7=0
Move the constant to the right-hand side and change its sign
n=0−7
Removing 0 doesn't change the value,so remove it from the expression
n=−7
n=10n=−7
Solution
n1=−7,n2=10
Show Solution