x^2-24x+46=-8x-2

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Solution for x^2-24x+46=-8x-2 equation: 


Simplifying
x2 + -24x + 46 = -8x + -2

Reorder the terms:
46 + -24x + x2 = -8x + -2

Reorder the terms:
46 + -24x + x2 = -2 + -8x

Solving
46 + -24x + x2 = -2 + -8x

Solving for variable 'x'.

Reorder the terms:
46 + 2 + -24x + 8x + x2 = -2 + -8x + 2 + 8x

Combine like terms: 46 + 2 = 48
48 + -24x + 8x + x2 = -2 + -8x + 2 + 8x

Combine like terms: -24x + 8x = -16x
48 + -16x + x2 = -2 + -8x + 2 + 8x

Reorder the terms:
48 + -16x + x2 = -2 + 2 + -8x + 8x

Combine like terms: -2 + 2 = 0
48 + -16x + x2 = 0 + -8x + 8x
48 + -16x + x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
48 + -16x + x2 = 0

Factor a trinomial.
(4 + -1x)(12 + -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 '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {4, 12}

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