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

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Solution for 32=(x-10)(x-6) equation: 


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

Reorder the terms:
32 = (-10 + x)(x + -6)

Reorder the terms:
32 = (-10 + x)(-6 + x)

Multiply (-10 + x) * (-6 + x)
32 = (-10(-6 + x) + x(-6 + x))
32 = ((-6 * -10 + x * -10) + x(-6 + x))
32 = ((60 + -10x) + x(-6 + x))
32 = (60 + -10x + (-6 * x + x * x))
32 = (60 + -10x + (-6x + x2))

Combine like terms: -10x + -6x = -16x
32 = (60 + -16x + x2)

Solving
32 = 60 + -16x + x2

Solving for variable 'x'.

Combine like terms: 32 + -60 = -28
-28 + 16x + -1x2 = 60 + -16x + x2 + -60 + 16x + -1x2

Reorder the terms:
-28 + 16x + -1x2 = 60 + -60 + -16x + 16x + x2 + -1x2

Combine like terms: 60 + -60 = 0
-28 + 16x + -1x2 = 0 + -16x + 16x + x2 + -1x2
-28 + 16x + -1x2 = -16x + 16x + x2 + -1x2

Combine like terms: -16x + 16x = 0
-28 + 16x + -1x2 = 0 + x2 + -1x2
-28 + 16x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28 + 16x + -1x2 = 0

Factor a trinomial.
(-14 + x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

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

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Simplifying
x = 14

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {14, 2}

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