(-8n-8)(-4n-6)=

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Solution for (-8n-8)(-4n-6)= equation:


Simplifying
(-8n + -8)(-4n + -6) = 0

Reorder the terms:
(-8 + -8n)(-4n + -6) = 0

Reorder the terms:
(-8 + -8n)(-6 + -4n) = 0

Multiply (-8 + -8n) * (-6 + -4n)
(-8(-6 + -4n) + -8n * (-6 + -4n)) = 0
((-6 * -8 + -4n * -8) + -8n * (-6 + -4n)) = 0
((48 + 32n) + -8n * (-6 + -4n)) = 0
(48 + 32n + (-6 * -8n + -4n * -8n)) = 0
(48 + 32n + (48n + 32n2)) = 0

Combine like terms: 32n + 48n = 80n
(48 + 80n + 32n2) = 0

Solving
48 + 80n + 32n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '16'.
16(3 + 5n + 2n2) = 0

Factor a trinomial.
16((3 + 2n)(1 + n)) = 0

Ignore the factor 16.

Subproblem 1

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

Subproblem 2

Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 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 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1

Solution

n = {-1.5, -1}

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