Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−83n−99
Evaluate
−3(n+3)−10(8n+9)
Expand the expression
More Steps
Calculate
−3(n+3)
Apply the distributive property
−3n−3×3
Multiply the numbers
−3n−9
−3n−9−10(8n+9)
Expand the expression
More Steps
Calculate
−10(8n+9)
Apply the distributive property
−10×8n−10×9
Multiply the numbers
−80n−10×9
Multiply the numbers
−80n−90
−3n−9−80n−90
Subtract the terms
More Steps
Evaluate
−3n−80n
Collect like terms by calculating the sum or difference of their coefficients
(−3−80)n
Subtract the numbers
−83n
−83n−9−90
Solution
−83n−99
Show Solution
Find the roots
n=−8399
Alternative Form
n≈−1.192771
Evaluate
−3(n+3)−10(8n+9)
To find the roots of the expression,set the expression equal to 0
−3(n+3)−10(8n+9)=0
Calculate
More Steps
Evaluate
−3(n+3)−10(8n+9)
Expand the expression
More Steps
Calculate
−3(n+3)
Apply the distributive property
−3n−3×3
Multiply the numbers
−3n−9
−3n−9−10(8n+9)
Expand the expression
More Steps
Calculate
−10(8n+9)
Apply the distributive property
−10×8n−10×9
Multiply the numbers
−80n−10×9
Multiply the numbers
−80n−90
−3n−9−80n−90
Subtract the terms
More Steps
Evaluate
−3n−80n
Collect like terms by calculating the sum or difference of their coefficients
(−3−80)n
Subtract the numbers
−83n
−83n−9−90
Subtract the numbers
−83n−99
−83n−99=0
Move the constant to the right-hand side and change its sign
−83n=0+99
Removing 0 doesn't change the value,so remove it from the expression
−83n=99
Change the signs on both sides of the equation
83n=−99
Divide both sides
8383n=83−99
Divide the numbers
n=83−99
Solution
n=−8399
Alternative Form
n≈−1.192771
Show Solution