x^2-2x-40=-9x+4

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Solution for x^2-2x-40=-9x+4 equation: 


Simplifying
x2 + -2x + -40 = -9x + 4

Reorder the terms:
-40 + -2x + x2 = -9x + 4

Reorder the terms:
-40 + -2x + x2 = 4 + -9x

Solving
-40 + -2x + x2 = 4 + -9x

Solving for variable 'x'.

Reorder the terms:
-40 + -4 + -2x + 9x + x2 = 4 + -9x + -4 + 9x

Combine like terms: -40 + -4 = -44
-44 + -2x + 9x + x2 = 4 + -9x + -4 + 9x

Combine like terms: -2x + 9x = 7x
-44 + 7x + x2 = 4 + -9x + -4 + 9x

Reorder the terms:
-44 + 7x + x2 = 4 + -4 + -9x + 9x

Combine like terms: 4 + -4 = 0
-44 + 7x + x2 = 0 + -9x + 9x
-44 + 7x + x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-44 + 7x + x2 = 0

Factor a trinomial.
(-11 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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 = {-11, 4}

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