x^2-x-2=-38x+36

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Solution for x^2-x-2=-38x+36 equation: 


Simplifying
x2 + -1x + -2 = -38x + 36

Reorder the terms:
-2 + -1x + x2 = -38x + 36

Reorder the terms:
-2 + -1x + x2 = 36 + -38x

Solving
-2 + -1x + x2 = 36 + -38x

Solving for variable 'x'.

Reorder the terms:
-2 + -36 + -1x + 38x + x2 = 36 + -38x + -36 + 38x

Combine like terms: -2 + -36 = -38
-38 + -1x + 38x + x2 = 36 + -38x + -36 + 38x

Combine like terms: -1x + 38x = 37x
-38 + 37x + x2 = 36 + -38x + -36 + 38x

Reorder the terms:
-38 + 37x + x2 = 36 + -36 + -38x + 38x

Combine like terms: 36 + -36 = 0
-38 + 37x + x2 = 0 + -38x + 38x
-38 + 37x + x2 = -38x + 38x

Combine like terms: -38x + 38x = 0
-38 + 37x + x2 = 0

Factor a trinomial.
(-38 + -1x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-38 + -1x)' equal to zero and attempt to solve:

Simplifying
-38 + -1x = 0

Solving
-38 + -1x = 0

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

Add '38' to each side of the equation.
-38 + 38 + -1x = 0 + 38

Combine like terms: -38 + 38 = 0
0 + -1x = 0 + 38
-1x = 0 + 38

Combine like terms: 0 + 38 = 38
-1x = 38

Divide each side by '-1'.
x = -38

Simplifying
x = -38

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-38, 1}

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