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

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


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

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

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

Solving
8 + -4x + x2 = -4 + 9x

Solving for variable 'x'.

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

Combine like terms: 8 + 4 = 12
12 + -4x + -9x + x2 = -4 + 9x + 4 + -9x

Combine like terms: -4x + -9x = -13x
12 + -13x + x2 = -4 + 9x + 4 + -9x

Reorder the terms:
12 + -13x + x2 = -4 + 4 + 9x + -9x

Combine like terms: -4 + 4 = 0
12 + -13x + x2 = 0 + 9x + -9x
12 + -13x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
12 + -13x + x2 = 0

Factor a trinomial.
(1 + -1x)(12 + -1x) = 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 '(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 = {1, 12}

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