15n^2+14n-49=0

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Solution for 15n^2+14n-49=0 equation: 


Simplifying
15n2 + 14n + -49 = 0

Reorder the terms:
-49 + 14n + 15n2 = 0

Solving
-49 + 14n + 15n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-7 + -3n)(7 + -5n) = 0


Subproblem 1
Set the factor '(-7 + -3n)' equal to zero and attempt to solve:

Simplifying
-7 + -3n = 0

Solving
-7 + -3n = 0

Move all terms containing n to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -3n = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3n = 0 + 7
-3n = 0 + 7

Combine like terms: 0 + 7 = 7
-3n = 7

Divide each side by '-3'.
n = -2.333333333

Simplifying
n = -2.333333333

Subproblem 2
Set the factor '(7 + -5n)' equal to zero and attempt to solve:

Simplifying
7 + -5n = 0

Solving
7 + -5n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -5n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5n = 0 + -7
-5n = 0 + -7

Combine like terms: 0 + -7 = -7
-5n = -7

Divide each side by '-5'.
n = 1.4

Simplifying
n = 1.4
Solution
n = {-2.333333333, 1.4}

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