2x^2-4+1=9x+8

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Solution for 2x^2-4+1=9x+8 equation: 


Simplifying
2x2 + -4 + 1 = 9x + 8

Reorder the terms:
-4 + 1 + 2x2 = 9x + 8

Combine like terms: -4 + 1 = -3
-3 + 2x2 = 9x + 8

Reorder the terms:
-3 + 2x2 = 8 + 9x

Solving
-3 + 2x2 = 8 + 9x

Solving for variable 'x'.

Reorder the terms:
-3 + -8 + -9x + 2x2 = 8 + 9x + -8 + -9x

Combine like terms: -3 + -8 = -11
-11 + -9x + 2x2 = 8 + 9x + -8 + -9x

Reorder the terms:
-11 + -9x + 2x2 = 8 + -8 + 9x + -9x

Combine like terms: 8 + -8 = 0
-11 + -9x + 2x2 = 0 + 9x + -9x
-11 + -9x + 2x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-11 + -9x + 2x2 = 0

Factor a trinomial.
(-1 + -1x)(11 + -2x) = 0


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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 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 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {-1, 5.5}

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