(n-3)(n-3)=-4

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Solution for (n-3)(n-3)=-4 equation:


Simplifying
(n + -3)(n + -3) = -4

Reorder the terms:
(-3 + n)(n + -3) = -4

Reorder the terms:
(-3 + n)(-3 + n) = -4

Multiply (-3 + n) * (-3 + n)
(-3(-3 + n) + n(-3 + n)) = -4
((-3 * -3 + n * -3) + n(-3 + n)) = -4
((9 + -3n) + n(-3 + n)) = -4
(9 + -3n + (-3 * n + n * n)) = -4
(9 + -3n + (-3n + n2)) = -4

Combine like terms: -3n + -3n = -6n
(9 + -6n + n2) = -4

Solving
9 + -6n + n2 = -4

Solving for variable 'n'.

Reorder the terms:
9 + 4 + -6n + n2 = -4 + 4

Combine like terms: 9 + 4 = 13
13 + -6n + n2 = -4 + 4

Combine like terms: -4 + 4 = 0
13 + -6n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -6n + -13 + n2 = 0 + -13

Reorder the terms:
13 + -13 + -6n + n2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6n + n2 = 0 + -13
-6n + n2 = 0 + -13

Combine like terms: 0 + -13 = -13
-6n + n2 = -13

The n term is -6n.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6n + 9 + n2 = -13 + 9

Reorder the terms:
9 + -6n + n2 = -13 + 9

Combine like terms: -13 + 9 = -4
9 + -6n + n2 = -4

Factor a perfect square on the left side:
(n + -3)(n + -3) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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