[(4x)(4x)]+[(2x)(2x)]=30

Solution for [(4x)(4x)]+[(2x)(2x)]=30 equation:

Simplifying
[(4x)(4x)] + [(2x)(2x)] = 30

Remove parenthesis around (4x)
[4x(4x)] + [(2x)(2x)] = 30

Remove parenthesis around (4x)
[4x * 4x] + [(2x)(2x)] = 30

Reorder the terms for easier multiplication:
[4 * 4x * x] + [(2x)(2x)] = 30

Multiply 4 * 4
[16x * x] + [(2x)(2x)] = 30

Multiply x * x
[16x2] + [(2x)(2x)] = 30

Remove parenthesis around (2x)
[16x2] + [2x(2x)] = 30

Remove parenthesis around (2x)
[16x2] + [2x * 2x] = 30

Reorder the terms for easier multiplication:
[16x2] + [2 * 2x * x] = 30

Multiply 2 * 2
[16x2] + [4x * x] = 30

Multiply x * x
[16x2] + [4x2] = 30

Combine like terms: [16x2] + [4x2] = 20x2
20x2 = 30

Solving
20x2 = 30

Solving for variable 'x'.

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

Divide each side by '20'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}