=(x-3)(x-8)

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Solution for =(x-3)(x-8) equation: 


Simplifying
0 = (x + -3)(x + -8)

Reorder the terms:
0 = (-3 + x)(x + -8)

Reorder the terms:
0 = (-3 + x)(-8 + x)

Multiply (-3 + x) * (-8 + x)
0 = (-3(-8 + x) + x(-8 + x))
0 = ((-8 * -3 + x * -3) + x(-8 + x))
0 = ((24 + -3x) + x(-8 + x))
0 = (24 + -3x + (-8 * x + x * x))
0 = (24 + -3x + (-8x + x2))

Combine like terms: -3x + -8x = -11x
0 = (24 + -11x + x2)

Solving
0 = 24 + -11x + x2

Solving for variable 'x'.

Combine like terms: 0 + -24 = -24
-24 + 11x + -1x2 = 24 + -11x + x2 + -24 + 11x + -1x2

Reorder the terms:
-24 + 11x + -1x2 = 24 + -24 + -11x + 11x + x2 + -1x2

Combine like terms: 24 + -24 = 0
-24 + 11x + -1x2 = 0 + -11x + 11x + x2 + -1x2
-24 + 11x + -1x2 = -11x + 11x + x2 + -1x2

Combine like terms: -11x + 11x = 0
-24 + 11x + -1x2 = 0 + x2 + -1x2
-24 + 11x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-24 + 11x + -1x2 = 0

Factor a trinomial.
(-8 + x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {8, 3}

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