X^2-5X-6=2-3X

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Solution for X^2-5X-6=2-3X equation: 


Simplifying
X2 + -5X + -6 = 2 + -3X

Reorder the terms:
-6 + -5X + X2 = 2 + -3X

Solving
-6 + -5X + X2 = 2 + -3X

Solving for variable 'X'.

Reorder the terms:
-6 + -2 + -5X + 3X + X2 = 2 + -3X + -2 + 3X

Combine like terms: -6 + -2 = -8
-8 + -5X + 3X + X2 = 2 + -3X + -2 + 3X

Combine like terms: -5X + 3X = -2X
-8 + -2X + X2 = 2 + -3X + -2 + 3X

Reorder the terms:
-8 + -2X + X2 = 2 + -2 + -3X + 3X

Combine like terms: 2 + -2 = 0
-8 + -2X + X2 = 0 + -3X + 3X
-8 + -2X + X2 = -3X + 3X

Combine like terms: -3X + 3X = 0
-8 + -2X + 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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