11x+187=11x+33+x^2+3x

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Solution for 11x+187=11x+33+x^2+3x equation: 


Simplifying
11x + 187 = 11x + 33 + x2 + 3x

Reorder the terms:
187 + 11x = 11x + 33 + x2 + 3x

Reorder the terms:
187 + 11x = 33 + 11x + 3x + x2

Combine like terms: 11x + 3x = 14x
187 + 11x = 33 + 14x + x2

Solving
187 + 11x = 33 + 14x + x2

Solving for variable 'x'.

Reorder the terms:
187 + -33 + 11x + -14x + -1x2 = 33 + 14x + x2 + -33 + -14x + -1x2

Combine like terms: 187 + -33 = 154
154 + 11x + -14x + -1x2 = 33 + 14x + x2 + -33 + -14x + -1x2

Combine like terms: 11x + -14x = -3x
154 + -3x + -1x2 = 33 + 14x + x2 + -33 + -14x + -1x2

Reorder the terms:
154 + -3x + -1x2 = 33 + -33 + 14x + -14x + x2 + -1x2

Combine like terms: 33 + -33 = 0
154 + -3x + -1x2 = 0 + 14x + -14x + x2 + -1x2
154 + -3x + -1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
154 + -3x + -1x2 = 0 + x2 + -1x2
154 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
154 + -3x + -1x2 = 0

Factor a trinomial.
(11 + -1x)(14 + x) = 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 '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {11, -14}

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