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

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


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

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

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

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

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

Solving
x = 60 + -16x + x2

Solving for variable 'x'.

Reorder the terms:
-60 + x + 16x + -1x2 = 60 + -16x + x2 + -60 + 16x + -1x2

Combine like terms: x + 16x = 17x
-60 + 17x + -1x2 = 60 + -16x + x2 + -60 + 16x + -1x2

Reorder the terms:
-60 + 17x + -1x2 = 60 + -60 + -16x + 16x + x2 + -1x2

Combine like terms: 60 + -60 = 0
-60 + 17x + -1x2 = 0 + -16x + 16x + x2 + -1x2
-60 + 17x + -1x2 = -16x + 16x + x2 + -1x2

Combine like terms: -16x + 16x = 0
-60 + 17x + -1x2 = 0 + x2 + -1x2
-60 + 17x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-60 + 17x + -1x2 = 0

Factor a trinomial.
(-12 + x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x = 0 + 12
x = 0 + 12

Combine like terms: 0 + 12 = 12
x = 12

Simplifying
x = 12

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {12, 5}

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