2x(6x+8)=2x+x

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Solution for 2x(6x+8)=2x+x equation: 


Simplifying
2x(6x + 8) = 2x + x

Reorder the terms:
2x(8 + 6x) = 2x + x
(8 * 2x + 6x * 2x) = 2x + x
(16x + 12x2) = 2x + x

Combine like terms: 2x + x = 3x
16x + 12x2 = 3x

Solving
16x + 12x2 = 3x

Solving for variable 'x'.

Reorder the terms:
16x + -3x + 12x2 = 3x + -3x

Combine like terms: 16x + -3x = 13x
13x + 12x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
13x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 12x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(13 + 12x)' equal to zero and attempt to solve:

Simplifying
13 + 12x = 0

Solving
13 + 12x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 12x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 12x = 0 + -13
12x = 0 + -13

Combine like terms: 0 + -13 = -13
12x = -13

Divide each side by '12'.
x = -1.083333333

Simplifying
x = -1.083333333
Solution
x = {0, -1.083333333}

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