3x(2x+9)-14=2x

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Solution for 3x(2x+9)-14=2x equation: 


Simplifying
3x(2x + 9) + -14 = 2x

Reorder the terms:
3x(9 + 2x) + -14 = 2x
(9 * 3x + 2x * 3x) + -14 = 2x
(27x + 6x2) + -14 = 2x

Reorder the terms:
-14 + 27x + 6x2 = 2x

Solving
-14 + 27x + 6x2 = 2x

Solving for variable 'x'.

Reorder the terms:
-14 + 27x + -2x + 6x2 = 2x + -2x

Combine like terms: 27x + -2x = 25x
-14 + 25x + 6x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 25x + 6x2 = 0

Factor a trinomial.
(-14 + -3x)(1 + -2x) = 0


Subproblem 1
Set the factor '(-14 + -3x)' equal to zero and attempt to solve:

Simplifying
-14 + -3x = 0

Solving
-14 + -3x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -3x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = 0 + 14
-3x = 0 + 14

Combine like terms: 0 + 14 = 14
-3x = 14

Divide each side by '-3'.
x = -4.666666667

Simplifying
x = -4.666666667

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-4.666666667, 0.5}

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