2*1=2x(6x+1)

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Solution for 2*1=2x(6x+1) equation: 


Simplifying
2 * 1 = 2x(6x + 1)

Multiply 2 * 1
2 = 2x(6x + 1)

Reorder the terms:
2 = 2x(1 + 6x)
2 = (1 * 2x + 6x * 2x)
2 = (2x + 12x2)

Solving
2 = 2x + 12x2

Solving for variable 'x'.

Reorder the terms:
2 + -2x + -12x2 = 2x + -2x + 12x2 + -12x2

Combine like terms: 2x + -2x = 0
2 + -2x + -12x2 = 0 + 12x2 + -12x2
2 + -2x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
2 + -2x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -1x + -6x2) = 0

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

Ignore the factor 2.

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 + 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 = {0.3333333333, -0.5}

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