[(14x)(x)]=7x

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Solution for [(14x)(x)]=7x equation: 


Simplifying
[(14x)(x)] = 7x

Remove parenthesis around (14x)
[14x(x)] = 7x

Multiply x * x
[14x2] = 7x

Solving
[14x2] = 7x

Solving for variable 'x'.

Reorder the terms:
-7x + [14x2] = 7x + -7x

Combine like terms: 7x + -7x = 0
-7x + [14x2] = 0

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-1 + [2x]) = 0

Ignore the factor 7.

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 '(-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, 0.5}

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