X+5+X+5=X^2+X-2

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


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

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

Combine like terms: 5 + 5 = 10
10 + X + X = X2 + X + -2

Combine like terms: X + X = 2X
10 + 2X = X2 + X + -2

Reorder the terms:
10 + 2X = -2 + X + X2

Solving
10 + 2X = -2 + X + X2

Solving for variable 'X'.

Reorder the terms:
10 + 2 + 2X + -1X + -1X2 = -2 + X + X2 + 2 + -1X + -1X2

Combine like terms: 10 + 2 = 12
12 + 2X + -1X + -1X2 = -2 + X + X2 + 2 + -1X + -1X2

Combine like terms: 2X + -1X = 1X
12 + 1X + -1X2 = -2 + X + X2 + 2 + -1X + -1X2

Reorder the terms:
12 + 1X + -1X2 = -2 + 2 + X + -1X + X2 + -1X2

Combine like terms: -2 + 2 = 0
12 + 1X + -1X2 = 0 + X + -1X + X2 + -1X2
12 + 1X + -1X2 = X + -1X + X2 + -1X2

Combine like terms: X + -1X = 0
12 + 1X + -1X2 = 0 + X2 + -1X2
12 + 1X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
12 + 1X + -1X2 = 0

Factor a trinomial.
(4 + -1X)(3 + X) = 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 '(3 + X)' equal to zero and attempt to solve:

Simplifying
3 + X = 0

Solving
3 + X = 0

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

Add '-3' to each side of the equation.
3 + -3 + X = 0 + -3

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

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

Simplifying
X = -3
Solution
X = {4, -3}

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