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

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

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

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

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

Reorder the terms for easier multiplication:
7x = [14 * 14x * x]

Multiply 14 * 14
7x = [196x * x]

Multiply x * x
7x = [196x2]

Solving
7x = [196x2]

Solving for variable 'x'.

Combine like terms: [196x2] + [-196x2] = 0
7x + [-196x2] = 0

Factor out the Greatest Common Factor (GCF), '7x'.
7x(1 + [-28x]) = 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 + [-28x])' equal to zero and attempt to solve:

Simplifying
1 + [-28x] = 0

Solving
1 + [-28x] = 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 + [-28x] = 0 + -1

Combine like terms: 1 + -1 = 0
0 + [-28x] = 0 + -1
[-28x] = 0 + -1

Combine like terms: 0 + -1 = -1
[-28x] = -1

Divide each side by '-28'.
x = 0.03571428571

Simplifying
x = 0.03571428571
Solution
x = {0, 0.03571428571}