x^2-8x-42=-2x-2

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Solution for x^2-8x-42=-2x-2 equation: 


Simplifying
x2 + -8x + -42 = -2x + -2

Reorder the terms:
-42 + -8x + x2 = -2x + -2

Reorder the terms:
-42 + -8x + x2 = -2 + -2x

Solving
-42 + -8x + x2 = -2 + -2x

Solving for variable 'x'.

Reorder the terms:
-42 + 2 + -8x + 2x + x2 = -2 + -2x + 2 + 2x

Combine like terms: -42 + 2 = -40
-40 + -8x + 2x + x2 = -2 + -2x + 2 + 2x

Combine like terms: -8x + 2x = -6x
-40 + -6x + x2 = -2 + -2x + 2 + 2x

Reorder the terms:
-40 + -6x + x2 = -2 + 2 + -2x + 2x

Combine like terms: -2 + 2 = 0
-40 + -6x + x2 = 0 + -2x + 2x
-40 + -6x + x2 = -2x + 2x

Combine like terms: -2x + 2x = 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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