x^2-5x-36=x+4

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Solution for x^2-5x-36=x+4 equation: 


Simplifying
x2 + -5x + -36 = x + 4

Reorder the terms:
-36 + -5x + x2 = x + 4

Reorder the terms:
-36 + -5x + x2 = 4 + x

Solving
-36 + -5x + x2 = 4 + x

Solving for variable 'x'.

Reorder the terms:
-36 + -4 + -5x + -1x + x2 = 4 + x + -4 + -1x

Combine like terms: -36 + -4 = -40
-40 + -5x + -1x + x2 = 4 + x + -4 + -1x

Combine like terms: -5x + -1x = -6x
-40 + -6x + x2 = 4 + x + -4 + -1x

Reorder the terms:
-40 + -6x + x2 = 4 + -4 + x + -1x

Combine like terms: 4 + -4 = 0
-40 + -6x + x2 = 0 + x + -1x
-40 + -6x + x2 = x + -1x

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

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


Subproblem 1
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

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 = {-4, 10}

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