0=(x-4)(x-8)

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Solution for 0=(x-4)(x-8) equation: 


Simplifying
0 = (x + -4)(x + -8)

Reorder the terms:
0 = (-4 + x)(x + -8)

Reorder the terms:
0 = (-4 + x)(-8 + x)

Multiply (-4 + x) * (-8 + x)
0 = (-4(-8 + x) + x(-8 + x))
0 = ((-8 * -4 + x * -4) + x(-8 + x))
0 = ((32 + -4x) + x(-8 + x))
0 = (32 + -4x + (-8 * x + x * x))
0 = (32 + -4x + (-8x + x2))

Combine like terms: -4x + -8x = -12x
0 = (32 + -12x + x2)

Solving
0 = 32 + -12x + x2

Solving for variable 'x'.

Combine like terms: 0 + -32 = -32
-32 + 12x + -1x2 = 32 + -12x + x2 + -32 + 12x + -1x2

Reorder the terms:
-32 + 12x + -1x2 = 32 + -32 + -12x + 12x + x2 + -1x2

Combine like terms: 32 + -32 = 0
-32 + 12x + -1x2 = 0 + -12x + 12x + x2 + -1x2
-32 + 12x + -1x2 = -12x + 12x + x2 + -1x2

Combine like terms: -12x + 12x = 0
-32 + 12x + -1x2 = 0 + x2 + -1x2
-32 + 12x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-32 + 12x + -1x2 = 0

Factor a trinomial.
(-8 + x)(4 + -1x) = 0


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

Simplifying
-8 + x = 0

Solving
-8 + x = 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 + x = 0 + 8

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

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

Simplifying
x = 8

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {8, 4}

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