X^2-9X+3=-5-3X

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Solution for X^2-9X+3=-5-3X equation: 


Simplifying
X2 + -9X + 3 = -5 + -3X

Reorder the terms:
3 + -9X + X2 = -5 + -3X

Solving
3 + -9X + X2 = -5 + -3X

Solving for variable 'X'.

Reorder the terms:
3 + 5 + -9X + 3X + X2 = -5 + -3X + 5 + 3X

Combine like terms: 3 + 5 = 8
8 + -9X + 3X + X2 = -5 + -3X + 5 + 3X

Combine like terms: -9X + 3X = -6X
8 + -6X + X2 = -5 + -3X + 5 + 3X

Reorder the terms:
8 + -6X + X2 = -5 + 5 + -3X + 3X

Combine like terms: -5 + 5 = 0
8 + -6X + X2 = 0 + -3X + 3X
8 + -6X + X2 = -3X + 3X

Combine like terms: -3X + 3X = 0
8 + -6X + X2 = 0

Factor a trinomial.
(2 + -1X)(4 + -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 '(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 = {2, 4}

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