(x-6)(x-4)=-16

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Solution for (x-6)(x-4)=-16 equation: 


Simplifying
(x + -6)(x + -4) = -16

Reorder the terms:
(-6 + x)(x + -4) = -16

Reorder the terms:
(-6 + x)(-4 + x) = -16

Multiply (-6 + x) * (-4 + x)
(-6(-4 + x) + x(-4 + x)) = -16
((-4 * -6 + x * -6) + x(-4 + x)) = -16
((24 + -6x) + x(-4 + x)) = -16
(24 + -6x + (-4 * x + x * x)) = -16
(24 + -6x + (-4x + x2)) = -16

Combine like terms: -6x + -4x = -10x
(24 + -10x + x2) = -16

Solving
24 + -10x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
24 + 16 + -10x + x2 = -16 + 16

Combine like terms: 24 + 16 = 40
40 + -10x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
40 + -10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -10x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + -10x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -10x + x2 = 0 + -40
-10x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-10x + x2 = -40

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -40 + 25

Reorder the terms:
25 + -10x + x2 = -40 + 25

Combine like terms: -40 + 25 = -15
25 + -10x + x2 = -15

Factor a perfect square on the left side:
(x + -5)(x + -5) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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