Solve: 66+57n(1/2) = 180
Answer
n = 4
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Step-by-Step Breakdown
- Expand and simplify the left-hand side: 66+57n(1/2) = 28.5n + 66
- Expand and simplify the right-hand side: 180 = 180
- Move every term to one side so the equation reads "...= 0": 28.5n - 114 = 0
- This is a linear equation of the form an+b=0, with a=28.5 and b=-114.
- Solve for n: n = -b/a = -(-114)/28.5 = 4
Theory & Definitions
A linear equation in one unknown can always be rearranged into the form an+b=0 (a≠0), which has exactly one solution: n = -b/a.
Frequently Asked Questions
What is the solution to 66+57n(1/2) = 180?
n = 4.