(x-6)(x-10)=-4

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Solution for (x-6)(x-10)=-4 equation: 


Simplifying
(x + -6)(x + -10) = -4

Reorder the terms:
(-6 + x)(x + -10) = -4

Reorder the terms:
(-6 + x)(-10 + x) = -4

Multiply (-6 + x) * (-10 + x)
(-6(-10 + x) + x(-10 + x)) = -4
((-10 * -6 + x * -6) + x(-10 + x)) = -4
((60 + -6x) + x(-10 + x)) = -4
(60 + -6x + (-10 * x + x * x)) = -4
(60 + -6x + (-10x + x2)) = -4

Combine like terms: -6x + -10x = -16x
(60 + -16x + x2) = -4

Solving
60 + -16x + x2 = -4

Solving for variable 'x'.

Reorder the terms:
60 + 4 + -16x + x2 = -4 + 4

Combine like terms: 60 + 4 = 64
64 + -16x + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
64 + -16x + x2 = 0

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


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {8, 8}

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