2x(x+16)=6x

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Solution for 2x(x+16)=6x equation: 


Simplifying
2x(x + 16) = 6x

Reorder the terms:
2x(16 + x) = 6x
(16 * 2x + x * 2x) = 6x
(32x + 2x2) = 6x

Solving
32x + 2x2 = 6x

Solving for variable 'x'.

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

Combine like terms: 32x + -6x = 26x
26x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
26x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(13 + x) = 0

Ignore the factor 2.

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 + x)' equal to zero and attempt to solve:

Simplifying
13 + x = 0

Solving
13 + x = 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 + x = 0 + -13

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

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

Simplifying
x = -13
Solution
x = {0, -13}

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