(x^2-1x)+(2x-14)+(2x+4)=0

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Solution for (x^2-1x)+(2x-14)+(2x+4)=0 equation: 


Simplifying
(x2 + -1x) + (2x + -14) + (2x + 4) = 0

Reorder the terms:
(-1x + x2) + (2x + -14) + (2x + 4) = 0

Remove parenthesis around (-1x + x2)
-1x + x2 + (2x + -14) + (2x + 4) = 0

Reorder the terms:
-1x + x2 + (-14 + 2x) + (2x + 4) = 0

Remove parenthesis around (-14 + 2x)
-1x + x2 + -14 + 2x + (2x + 4) = 0

Reorder the terms:
-1x + x2 + -14 + 2x + (4 + 2x) = 0

Remove parenthesis around (4 + 2x)
-1x + x2 + -14 + 2x + 4 + 2x = 0

Reorder the terms:
-14 + 4 + -1x + 2x + 2x + x2 = 0

Combine like terms: -14 + 4 = -10
-10 + -1x + 2x + 2x + x2 = 0

Combine like terms: -1x + 2x = 1x
-10 + 1x + 2x + x2 = 0

Combine like terms: 1x + 2x = 3x
-10 + 3x + x2 = 0

Solving
-10 + 3x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
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
Solution
x = {-5, 2}

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