x^2-16x+22=-4x-5

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Solution for x^2-16x+22=-4x-5 equation:


Simplifying
x2 + -16x + 22 = -4x + -5

Reorder the terms:
22 + -16x + x2 = -4x + -5

Reorder the terms:
22 + -16x + x2 = -5 + -4x

Solving
22 + -16x + x2 = -5 + -4x

Solving for variable 'x'.

Reorder the terms:
22 + 5 + -16x + 4x + x2 = -5 + -4x + 5 + 4x

Combine like terms: 22 + 5 = 27
27 + -16x + 4x + x2 = -5 + -4x + 5 + 4x

Combine like terms: -16x + 4x = -12x
27 + -12x + x2 = -5 + -4x + 5 + 4x

Reorder the terms:
27 + -12x + x2 = -5 + 5 + -4x + 4x

Combine like terms: -5 + 5 = 0
27 + -12x + x2 = 0 + -4x + 4x
27 + -12x + x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
27 + -12x + x2 = 0

Factor a trinomial.
(3 + -1x)(9 + -1x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {3, 9}

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