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Simplifying
264n2 + 680n + -113 = 200n2 + 680n + 8
Reorder the terms:
-113 + 680n + 264n2 = 200n2 + 680n + 8
Reorder the terms:
-113 + 680n + 264n2 = 8 + 680n + 200n2
Add '-680n' to each side of the equation.
-113 + 680n + -680n + 264n2 = 8 + 680n + -680n + 200n2
Combine like terms: 680n + -680n = 0
-113 + 0 + 264n2 = 8 + 680n + -680n + 200n2
-113 + 264n2 = 8 + 680n + -680n + 200n2
Combine like terms: 680n + -680n = 0
-113 + 264n2 = 8 + 0 + 200n2
-113 + 264n2 = 8 + 200n2
Solving
-113 + 264n2 = 8 + 200n2
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-200n2' to each side of the equation.
-113 + 264n2 + -200n2 = 8 + 200n2 + -200n2
Combine like terms: 264n2 + -200n2 = 64n2
-113 + 64n2 = 8 + 200n2 + -200n2
Combine like terms: 200n2 + -200n2 = 0
-113 + 64n2 = 8 + 0
-113 + 64n2 = 8
Add '113' to each side of the equation.
-113 + 113 + 64n2 = 8 + 113
Combine like terms: -113 + 113 = 0
0 + 64n2 = 8 + 113
64n2 = 8 + 113
Combine like terms: 8 + 113 = 121
64n2 = 121
Divide each side by '64'.
n2 = 1.890625
Simplifying
n2 = 1.890625
Take the square root of each side:
n = {-1.375, 1.375}
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