X^2-6X+2=2X-14

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Solution for X^2-6X+2=2X-14 equation: 


Simplifying
X2 + -6X + 2 = 2X + -14

Reorder the terms:
2 + -6X + X2 = 2X + -14

Reorder the terms:
2 + -6X + X2 = -14 + 2X

Solving
2 + -6X + X2 = -14 + 2X

Solving for variable 'X'.

Reorder the terms:
2 + 14 + -6X + -2X + X2 = -14 + 2X + 14 + -2X

Combine like terms: 2 + 14 = 16
16 + -6X + -2X + X2 = -14 + 2X + 14 + -2X

Combine like terms: -6X + -2X = -8X
16 + -8X + X2 = -14 + 2X + 14 + -2X

Reorder the terms:
16 + -8X + X2 = -14 + 14 + 2X + -2X

Combine like terms: -14 + 14 = 0
16 + -8X + X2 = 0 + 2X + -2X
16 + -8X + X2 = 2X + -2X

Combine like terms: 2X + -2X = 0
16 + -8X + X2 = 0

Factor a trinomial.
(4 + -1X)(4 + -1X) = 0


Subproblem 1
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

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 = {4, 4}

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