x^2-9x-7+3x-29=180

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Solution for x^2-9x-7+3x-29=180 equation: 


Simplifying
x2 + -9x + -7 + 3x + -29 = 180

Reorder the terms:
-7 + -29 + -9x + 3x + x2 = 180

Combine like terms: -7 + -29 = -36
-36 + -9x + 3x + x2 = 180

Combine like terms: -9x + 3x = -6x
-36 + -6x + x2 = 180

Solving
-36 + -6x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
-36 + -180 + -6x + x2 = 180 + -180

Combine like terms: -36 + -180 = -216
-216 + -6x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-216 + -6x + x2 = 0

Factor a trinomial.
(-12 + -1x)(18 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-12, 18}

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