x^2-6x+9=2x+29

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Solution for x^2-6x+9=2x+29 equation: 


Simplifying
x2 + -6x + 9 = 2x + 29

Reorder the terms:
9 + -6x + x2 = 2x + 29

Reorder the terms:
9 + -6x + x2 = 29 + 2x

Solving
9 + -6x + x2 = 29 + 2x

Solving for variable 'x'.

Reorder the terms:
9 + -29 + -6x + -2x + x2 = 29 + 2x + -29 + -2x

Combine like terms: 9 + -29 = -20
-20 + -6x + -2x + x2 = 29 + 2x + -29 + -2x

Combine like terms: -6x + -2x = -8x
-20 + -8x + x2 = 29 + 2x + -29 + -2x

Reorder the terms:
-20 + -8x + x2 = 29 + -29 + 2x + -2x

Combine like terms: 29 + -29 = 0
-20 + -8x + x2 = 0 + 2x + -2x
-20 + -8x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + -8x + x2 = 0

Factor a trinomial.
(-2 + -1x)(10 + -1x) = 0


Subproblem 1
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

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 = {-2, 10}

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