(x-3)(8-x)=

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


Simplifying
(x + -3)(8 + -1x) = 0

Reorder the terms:
(-3 + x)(8 + -1x) = 0

Multiply (-3 + x) * (8 + -1x)
(-3(8 + -1x) + x(8 + -1x)) = 0
((8 * -3 + -1x * -3) + x(8 + -1x)) = 0
((-24 + 3x) + x(8 + -1x)) = 0
(-24 + 3x + (8 * x + -1x * x)) = 0
(-24 + 3x + (8x + -1x2)) = 0

Combine like terms: 3x + 8x = 11x
(-24 + 11x + -1x2) = 0

Solving
-24 + 11x + -1x2 = 0

Solving for variable 'x'.

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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