-x^2-18x+38=6+2x-4x^2

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Solution for -x^2-18x+38=6+2x-4x^2 equation:


Simplifying
-1x2 + -18x + 38 = 6 + 2x + -4x2

Reorder the terms:
38 + -18x + -1x2 = 6 + 2x + -4x2

Solving
38 + -18x + -1x2 = 6 + 2x + -4x2

Solving for variable 'x'.

Reorder the terms:
38 + -6 + -18x + -2x + -1x2 + 4x2 = 6 + 2x + -4x2 + -6 + -2x + 4x2

Combine like terms: 38 + -6 = 32
32 + -18x + -2x + -1x2 + 4x2 = 6 + 2x + -4x2 + -6 + -2x + 4x2

Combine like terms: -18x + -2x = -20x
32 + -20x + -1x2 + 4x2 = 6 + 2x + -4x2 + -6 + -2x + 4x2

Combine like terms: -1x2 + 4x2 = 3x2
32 + -20x + 3x2 = 6 + 2x + -4x2 + -6 + -2x + 4x2

Reorder the terms:
32 + -20x + 3x2 = 6 + -6 + 2x + -2x + -4x2 + 4x2

Combine like terms: 6 + -6 = 0
32 + -20x + 3x2 = 0 + 2x + -2x + -4x2 + 4x2
32 + -20x + 3x2 = 2x + -2x + -4x2 + 4x2

Combine like terms: 2x + -2x = 0
32 + -20x + 3x2 = 0 + -4x2 + 4x2
32 + -20x + 3x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
32 + -20x + 3x2 = 0

Factor a trinomial.
(8 + -3x)(4 + -1x) = 0


Subproblem 1
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {2.666666667, 4}

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