Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(2n−7)(5n+8)
Evaluate
10n2−19n−56
Rewrite the expression
10n2+(16−35)n−56
Calculate
10n2+16n−35n−56
Rewrite the expression
2n×5n+2n×8−7×5n−7×8
Factor out 2n from the expression
2n(5n+8)−7×5n−7×8
Factor out −7 from the expression
2n(5n+8)−7(5n+8)
Solution
(2n−7)(5n+8)
Show Solution
Find the roots
n1=−58,n2=27
Alternative Form
n1=−1.6,n2=3.5
Evaluate
10n2−19n−56
To find the roots of the expression,set the expression equal to 0
10n2−19n−56=0
Factor the expression
More Steps
Evaluate
10n2−19n−56
Rewrite the expression
10n2+(16−35)n−56
Calculate
10n2+16n−35n−56
Rewrite the expression
2n×5n+2n×8−7×5n−7×8
Factor out 2n from the expression
2n(5n+8)−7×5n−7×8
Factor out −7 from the expression
2n(5n+8)−7(5n+8)
Factor out 5n+8 from the expression
(2n−7)(5n+8)
(2n−7)(5n+8)=0
When the product of factors equals 0,at least one factor is 0
2n−7=05n+8=0
Solve the equation for n
More Steps
Evaluate
2n−7=0
Move the constant to the right-hand side and change its sign
2n=0+7
Removing 0 doesn't change the value,so remove it from the expression
2n=7
Divide both sides
22n=27
Divide the numbers
n=27
n=275n+8=0
Solve the equation for n
More Steps
Evaluate
5n+8=0
Move the constant to the right-hand side and change its sign
5n=0−8
Removing 0 doesn't change the value,so remove it from the expression
5n=−8
Divide both sides
55n=5−8
Divide the numbers
n=5−8
Use b−a=−ba=−ba to rewrite the fraction
n=−58
n=27n=−58
Solution
n1=−58,n2=27
Alternative Form
n1=−1.6,n2=3.5
Show Solution