6n^2+11n-7=0

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Solution for 6n^2+11n-7=0 equation:


Simplifying
6n2 + 11n + -7 = 0

Reorder the terms:
-7 + 11n + 6n2 = 0

Solving
-7 + 11n + 6n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-7 + -3n)(1 + -2n) = 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 '(1 + -2n)' equal to zero and attempt to solve: Simplifying 1 + -2n = 0 Solving 1 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = 0 + -1 -2n = 0 + -1 Combine like terms: 0 + -1 = -1 -2n = -1 Divide each side by '-2'. n = 0.5 Simplifying n = 0.5

Solution

n = {-2.333333333, 0.5}

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