Step 1
Separate the unknown variable on one side of the equation.
Given equation is quadratic equation.
Derivative of the function decides whether the function is increasing or decreasing. If the first derivative is positive, function is increasing in that particular interval. If it is negative, function is decreasing for that particular interval.
Step 2
n(3n-2)=40
(n-4)(3n+10)=0
Traidnew
Beginner2021-11-20Added 14 answers
Simplifying n(3n + -2) = 40 Reorder the terms: n(-2 + 3n) = 40 (-2 * n + 3n * n) = 40 Solving Solving for variable 'n'. Reorder the terms: Combine like terms: 40 + -40 = 0 Factor a trinomial. (-10 + -3n)(4 + -1n) = 0 Set the factor '(-10 + -3n)' equal to zero and attempt to solve: Simplifying -10 + -3n = 0 Solving -10 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3n = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3n = 0 + 10 -3n = 0 + 10 Combine like terms: 0 + 10 = 10 -3n = 10 Divide each side by '-3'. Set the factor '(4 + -1n)' equal to zero and attempt to solve: Simplifying 4 + -1n = 0 Solving 4 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 0 + -4 -1n = 0 + -4 Combine like terms: 0 + -4 = -4 -1n = -4 Divide each side by '-1'. n = 4 Result: