104=2(3x(x)+3x(5)+5(x))

Solution for 104=2(3x(x)+3x(5)+5(x)) equation:

Simplifying
104 = 2(3x(x) + 3x(5) + 5(x))

Multiply x * x
104 = 2(3x2 + 3x(5) + 5(x))

Reorder the terms for easier multiplication:
104 = 2(3x2 + 3 * 5x + 5(x))

Multiply 3 * 5
104 = 2(3x2 + 15x + 5(x))

Reorder the terms:
104 = 2(15x + 5x + 3x2)

Combine like terms: 15x + 5x = 20x
104 = 2(20x + 3x2)
104 = (20x * 2 + 3x2 * 2)
104 = (40x + 6x2)

Solving
104 = 40x + 6x2

Solving for variable 'x'.

Reorder the terms:
104 + -40x + -6x2 = 40x + -40x + 6x2 + -6x2

Combine like terms: 40x + -40x = 0
104 + -40x + -6x2 = 0 + 6x2 + -6x2
104 + -40x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
104 + -40x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(52 + -20x + -3x2) = 0

Factor a trinomial.
2((2 + -1x)(26 + 3x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(26 + 3x)' equal to zero and attempt to solve:

Simplifying
26 + 3x = 0

Solving
26 + 3x = 0

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

Add '-26' to each side of the equation.
26 + -26 + 3x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 3x = 0 + -26
3x = 0 + -26

Combine like terms: 0 + -26 = -26
3x = -26

Divide each side by '3'.
x = -8.666666667

Simplifying
x = -8.666666667
Solution
x = {2, -8.666666667}