[x-5-3][x-5+3]=0

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Solution for [x-5-3][x-5+3]=0 equation:


Simplifying
[x + -5 + -3][x + -5 + 3] = 0

Reorder the terms:
[-5 + -3 + x][x + -5 + 3] = 0

Combine like terms: -5 + -3 = -8
[-8 + x][x + -5 + 3] = 0

Reorder the terms:
[-8 + x][-5 + 3 + x] = 0

Combine like terms: -5 + 3 = -2
[-8 + x][-2 + x] = 0

Multiply [-8 + x] * [-2 + x]
[-8[-2 + x] + x[-2 + x]] = 0
[[-2 * -8 + x * -8] + x[-2 + x]] = 0
[[16 + -8x] + x[-2 + x]] = 0
[16 + -8x + [-2 * x + x * x]] = 0
[16 + -8x + [-2x + x2]] = 0

Combine like terms: -8x + -2x = -10x
[16 + -10x + x2] = 0

Solving
16 + -10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(8 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {2, 8}

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