58=x+5+x+8+x^2-3x+3x-3

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Solution for 58=x+5+x+8+x^2-3x+3x-3 equation: 


Simplifying
58 = x + 5 + x + 8 + x2 + -3x + 3x + -3

Reorder the terms:
58 = 5 + 8 + -3 + x + x + -3x + 3x + x2

Combine like terms: 5 + 8 = 13
58 = 13 + -3 + x + x + -3x + 3x + x2

Combine like terms: 13 + -3 = 10
58 = 10 + x + x + -3x + 3x + x2

Combine like terms: x + x = 2x
58 = 10 + 2x + -3x + 3x + x2

Combine like terms: 2x + -3x = -1x
58 = 10 + -1x + 3x + x2

Combine like terms: -1x + 3x = 2x
58 = 10 + 2x + x2

Solving
58 = 10 + 2x + x2

Solving for variable 'x'.

Combine like terms: 58 + -10 = 48
48 + -2x + -1x2 = 10 + 2x + x2 + -10 + -2x + -1x2

Reorder the terms:
48 + -2x + -1x2 = 10 + -10 + 2x + -2x + x2 + -1x2

Combine like terms: 10 + -10 = 0
48 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
48 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
48 + -2x + -1x2 = 0 + x2 + -1x2
48 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
48 + -2x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(8 + x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

Subproblem 2
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
Solution
x = {6, -8}

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