-7n(2n+3)=0

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Solution for -7n(2n+3)=0 equation:


Simplifying
-7n(2n + 3) = 0

Reorder the terms:
-7n(3 + 2n) = 0
(3 * -7n + 2n * -7n) = 0
(-21n + -14n2) = 0

Solving
-21n + -14n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-7n'.
-7n(3 + 2n) = 0

Ignore the factor -7.

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(3 + 2n)' equal to zero and attempt to solve: Simplifying 3 + 2n = 0 Solving 3 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 0 + -3 2n = 0 + -3 Combine like terms: 0 + -3 = -3 2n = -3 Divide each side by '2'. n = -1.5 Simplifying n = -1.5

Solution

n = {0, -1.5}

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