3x^2-22x=-6x^2-5x-8

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Solution for 3x^2-22x=-6x^2-5x-8 equation: 


Simplifying
3x2 + -22x = -6x2 + -5x + -8

Reorder the terms:
-22x + 3x2 = -6x2 + -5x + -8

Reorder the terms:
-22x + 3x2 = -8 + -5x + -6x2

Solving
-22x + 3x2 = -8 + -5x + -6x2

Solving for variable 'x'.

Reorder the terms:
8 + -22x + 5x + 3x2 + 6x2 = -8 + -5x + -6x2 + 8 + 5x + 6x2

Combine like terms: -22x + 5x = -17x
8 + -17x + 3x2 + 6x2 = -8 + -5x + -6x2 + 8 + 5x + 6x2

Combine like terms: 3x2 + 6x2 = 9x2
8 + -17x + 9x2 = -8 + -5x + -6x2 + 8 + 5x + 6x2

Reorder the terms:
8 + -17x + 9x2 = -8 + 8 + -5x + 5x + -6x2 + 6x2

Combine like terms: -8 + 8 = 0
8 + -17x + 9x2 = 0 + -5x + 5x + -6x2 + 6x2
8 + -17x + 9x2 = -5x + 5x + -6x2 + 6x2

Combine like terms: -5x + 5x = 0
8 + -17x + 9x2 = 0 + -6x2 + 6x2
8 + -17x + 9x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
8 + -17x + 9x2 = 0

Factor a trinomial.
(8 + -9x)(1 + -1x) = 0


Subproblem 1
Set the factor '(8 + -9x)' equal to zero and attempt to solve:

Simplifying
8 + -9x = 0

Solving
8 + -9x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = 0 + -8
-9x = 0 + -8

Combine like terms: 0 + -8 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

Subproblem 2
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
Solution
x = {0.8888888889, 1}

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