x^2-15x-44=7x+4

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Solution for x^2-15x-44=7x+4 equation: 


Simplifying
x2 + -15x + -44 = 7x + 4

Reorder the terms:
-44 + -15x + x2 = 7x + 4

Reorder the terms:
-44 + -15x + x2 = 4 + 7x

Solving
-44 + -15x + x2 = 4 + 7x

Solving for variable 'x'.

Reorder the terms:
-44 + -4 + -15x + -7x + x2 = 4 + 7x + -4 + -7x

Combine like terms: -44 + -4 = -48
-48 + -15x + -7x + x2 = 4 + 7x + -4 + -7x

Combine like terms: -15x + -7x = -22x
-48 + -22x + x2 = 4 + 7x + -4 + -7x

Reorder the terms:
-48 + -22x + x2 = 4 + -4 + 7x + -7x

Combine like terms: 4 + -4 = 0
-48 + -22x + x2 = 0 + 7x + -7x
-48 + -22x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-48 + -22x + x2 = 0

Factor a trinomial.
(-2 + -1x)(24 + -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 '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24
Solution
x = {-2, 24}

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