x^2+9x-39=3x+1

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Solution for x^2+9x-39=3x+1 equation: 


Simplifying
x2 + 9x + -39 = 3x + 1

Reorder the terms:
-39 + 9x + x2 = 3x + 1

Reorder the terms:
-39 + 9x + x2 = 1 + 3x

Solving
-39 + 9x + x2 = 1 + 3x

Solving for variable 'x'.

Reorder the terms:
-39 + -1 + 9x + -3x + x2 = 1 + 3x + -1 + -3x

Combine like terms: -39 + -1 = -40
-40 + 9x + -3x + x2 = 1 + 3x + -1 + -3x

Combine like terms: 9x + -3x = 6x
-40 + 6x + x2 = 1 + 3x + -1 + -3x

Reorder the terms:
-40 + 6x + x2 = 1 + -1 + 3x + -3x

Combine like terms: 1 + -1 = 0
-40 + 6x + x2 = 0 + 3x + -3x
-40 + 6x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + 6x + x2 = 0

Factor a trinomial.
(-10 + -1x)(4 + -1x) = 0


Subproblem 1
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

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 = {-10, 4}

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