Question
Simplify the expression
Solution
−25n−2
Evaluate
−2(−5n+6)+5(2−7n)
Expand the expression
More Steps
Calculate
−2(−5n+6)
Apply the distributive property
−2(−5n)−2×6
Multiply the numbers
More Steps
Evaluate
−2(−5)
Multiplying or dividing an even number of negative terms equals a positive
2×5
Multiply the numbers
10
10n−2×6
Multiply the numbers
10n−12
10n−12+5(2−7n)
Expand the expression
More Steps
Calculate
5(2−7n)
Apply the distributive property
5×2−5×7n
Multiply the numbers
10−5×7n
Multiply the numbers
10−35n
10n−12+10−35n
Subtract the terms
More Steps
Evaluate
10n−35n
Collect like terms by calculating the sum or difference of their coefficients
(10−35)n
Subtract the numbers
−25n
−25n−12+10
Solution
−25n−2
Show Solution
Find the roots
Find the roots of the algebra expression
n=−252
Alternative Form
n=−0.08
Evaluate
−2(−5n+6)+5(2−7n)
To find the roots of the expression,set the expression equal to 0
−2(−5n+6)+5(2−7n)=0
Calculate
More Steps
Evaluate
−2(−5n+6)+5(2−7n)
Expand the expression
More Steps
Calculate
−2(−5n+6)
Apply the distributive property
−2(−5n)−2×6
Multiply the numbers
10n−2×6
Multiply the numbers
10n−12
10n−12+5(2−7n)
Expand the expression
More Steps
Calculate
5(2−7n)
Apply the distributive property
5×2−5×7n
Multiply the numbers
10−5×7n
Multiply the numbers
10−35n
10n−12+10−35n
Subtract the terms
More Steps
Evaluate
10n−35n
Collect like terms by calculating the sum or difference of their coefficients
(10−35)n
Subtract the numbers
−25n
−25n−12+10
Add the numbers
−25n−2
−25n−2=0
Move the constant to the right-hand side and change its sign
−25n=0+2
Removing 0 doesn't change the value,so remove it from the expression
−25n=2
Change the signs on both sides of the equation
25n=−2
Divide both sides
2525n=25−2
Divide the numbers
n=25−2
Solution
n=−252
Alternative Form
n=−0.08
Show Solution