2n^2(6n^5+7)=

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Solution for 2n^2(6n^5+7)= equation:


Simplifying
2n2(6n5 + 7) = 0

Reorder the terms:
2n2(7 + 6n5) = 0
(7 * 2n2 + 6n5 * 2n2) = 0
(14n2 + 12n7) = 0

Solving
14n2 + 12n7 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n2'.
2n2(7 + 6n5) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'n2' equal to zero and attempt to solve: Simplifying n2 = 0 Solving n2 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n2 = 0 Take the square root of each side: n = {0}

Subproblem 2

Set the factor '(7 + 6n5)' equal to zero and attempt to solve: Simplifying 7 + 6n5 = 0 Solving 7 + 6n5 = 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 + 6n5 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6n5 = 0 + -7 6n5 = 0 + -7 Combine like terms: 0 + -7 = -7 6n5 = -7 Divide each side by '6'. n5 = -1.166666667 Simplifying n5 = -1.166666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

n = {0}

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