(x+2)+(x+3)+(x^2-2x)+(3x-4)-29=0

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Solution for (x+2)+(x+3)+(x^2-2x)+(3x-4)-29=0 equation: 


Simplifying
(x + 2) + (x + 3) + (x2 + -2x) + (3x + -4) + -29 = 0

Reorder the terms:
(2 + x) + (x + 3) + (x2 + -2x) + (3x + -4) + -29 = 0

Remove parenthesis around (2 + x)
2 + x + (x + 3) + (x2 + -2x) + (3x + -4) + -29 = 0

Reorder the terms:
2 + x + (3 + x) + (x2 + -2x) + (3x + -4) + -29 = 0

Remove parenthesis around (3 + x)
2 + x + 3 + x + (x2 + -2x) + (3x + -4) + -29 = 0

Reorder the terms:
2 + x + 3 + x + (-2x + x2) + (3x + -4) + -29 = 0

Remove parenthesis around (-2x + x2)
2 + x + 3 + x + -2x + x2 + (3x + -4) + -29 = 0

Reorder the terms:
2 + x + 3 + x + -2x + x2 + (-4 + 3x) + -29 = 0

Remove parenthesis around (-4 + 3x)
2 + x + 3 + x + -2x + x2 + -4 + 3x + -29 = 0

Reorder the terms:
2 + 3 + -4 + -29 + x + x + -2x + 3x + x2 = 0

Combine like terms: 2 + 3 = 5
5 + -4 + -29 + x + x + -2x + 3x + x2 = 0

Combine like terms: 5 + -4 = 1
1 + -29 + x + x + -2x + 3x + x2 = 0

Combine like terms: 1 + -29 = -28
-28 + x + x + -2x + 3x + x2 = 0

Combine like terms: x + x = 2x
-28 + 2x + -2x + 3x + x2 = 0

Combine like terms: 2x + -2x = 0
-28 + 0 + 3x + x2 = 0
-28 + 3x + x2 = 0

Solving
-28 + 3x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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 = {-7, 4}

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