9x^2+22=2+8x^2-9x

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Solution for 9x^2+22=2+8x^2-9x equation: 


Simplifying
9x2 + 22 = 2 + 8x2 + -9x

Reorder the terms:
22 + 9x2 = 2 + 8x2 + -9x

Reorder the terms:
22 + 9x2 = 2 + -9x + 8x2

Solving
22 + 9x2 = 2 + -9x + 8x2

Solving for variable 'x'.

Reorder the terms:
22 + -2 + 9x + 9x2 + -8x2 = 2 + -9x + 8x2 + -2 + 9x + -8x2

Combine like terms: 22 + -2 = 20
20 + 9x + 9x2 + -8x2 = 2 + -9x + 8x2 + -2 + 9x + -8x2

Combine like terms: 9x2 + -8x2 = 1x2
20 + 9x + 1x2 = 2 + -9x + 8x2 + -2 + 9x + -8x2

Reorder the terms:
20 + 9x + 1x2 = 2 + -2 + -9x + 9x + 8x2 + -8x2

Combine like terms: 2 + -2 = 0
20 + 9x + 1x2 = 0 + -9x + 9x + 8x2 + -8x2
20 + 9x + 1x2 = -9x + 9x + 8x2 + -8x2

Combine like terms: -9x + 9x = 0
20 + 9x + 1x2 = 0 + 8x2 + -8x2
20 + 9x + 1x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
20 + 9x + 1x2 = 0

Factor a trinomial.
(5 + x)(4 + x) = 0


Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-5, -4}

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