(n-8)(n-3)=

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Solution for (n-8)(n-3)= equation:


Simplifying
(n + -8)(n + -3) = 0

Reorder the terms:
(-8 + n)(n + -3) = 0

Reorder the terms:
(-8 + n)(-3 + n) = 0

Multiply (-8 + n) * (-3 + n)
(-8(-3 + n) + n(-3 + n)) = 0
((-3 * -8 + n * -8) + n(-3 + n)) = 0
((24 + -8n) + n(-3 + n)) = 0
(24 + -8n + (-3 * n + n * n)) = 0
(24 + -8n + (-3n + n2)) = 0

Combine like terms: -8n + -3n = -11n
(24 + -11n + n2) = 0

Solving
24 + -11n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(3 + -1n)(8 + -1n) = 0

Subproblem 1

Set the factor '(3 + -1n)' equal to zero and attempt to solve: Simplifying 3 + -1n = 0 Solving 3 + -1n = 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 + -1n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 0 + -3 -1n = 0 + -3 Combine like terms: 0 + -3 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3

Subproblem 2

Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8

Solution

n = {3, 8}

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