18x^2+9x-2=(6x-1)

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Solution for 18x^2+9x-2=(6x-1) equation: 


Simplifying
18x2 + 9x + -2 = (6x + -1)

Reorder the terms:
-2 + 9x + 18x2 = (6x + -1)

Reorder the terms:
-2 + 9x + 18x2 = (-1 + 6x)

Remove parenthesis around (-1 + 6x)
-2 + 9x + 18x2 = -1 + 6x

Solving
-2 + 9x + 18x2 = -1 + 6x

Solving for variable 'x'.

Reorder the terms:
-2 + 1 + 9x + -6x + 18x2 = -1 + 6x + 1 + -6x

Combine like terms: -2 + 1 = -1
-1 + 9x + -6x + 18x2 = -1 + 6x + 1 + -6x

Combine like terms: 9x + -6x = 3x
-1 + 3x + 18x2 = -1 + 6x + 1 + -6x

Reorder the terms:
-1 + 3x + 18x2 = -1 + 1 + 6x + -6x

Combine like terms: -1 + 1 = 0
-1 + 3x + 18x2 = 0 + 6x + -6x
-1 + 3x + 18x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + 3x + 18x2 = 0

Factor a trinomial.
(-1 + -3x)(1 + -6x) = 0


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

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Solution
x = {-0.3333333333, 0.1666666667}

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