X^2+X-110+2(4)=8

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Solution for X^2+X-110+2(4)=8 equation: 


Simplifying
X2 + X + -110 + 2(4) = 8

Multiply 2 * 4
X2 + X + -110 + 8 = 8

Reorder the terms:
-110 + 8 + X + X2 = 8

Combine like terms: -110 + 8 = -102
-102 + X + X2 = 8

Solving
-102 + X + X2 = 8

Solving for variable 'X'.

Reorder the terms:
-102 + -8 + X + X2 = 8 + -8

Combine like terms: -102 + -8 = -110
-110 + X + X2 = 8 + -8

Combine like terms: 8 + -8 = 0
-110 + X + X2 = 0

Factor a trinomial.
(-11 + -1X)(10 + -1X) = 0


Subproblem 1
Set the factor '(-11 + -1X)' equal to zero and attempt to solve:

Simplifying
-11 + -1X = 0

Solving
-11 + -1X = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1X = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1X = 0 + 11
-1X = 0 + 11

Combine like terms: 0 + 11 = 11
-1X = 11

Divide each side by '-1'.
X = -11

Simplifying
X = -11

Subproblem 2
Set the factor '(10 + -1X)' equal to zero and attempt to solve:

Simplifying
10 + -1X = 0

Solving
10 + -1X = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1X = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1X = 0 + -10
-1X = 0 + -10

Combine like terms: 0 + -10 = -10
-1X = -10

Divide each side by '-1'.
X = 10

Simplifying
X = 10
Solution
X = {-11, 10}

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