2(4x*3x+2)=52

Solution for 2(4x*3x+2)=52 equation:

Simplifying
2(4x * 3x + 2) = 52

Reorder the terms for easier multiplication:
2(4 * 3x * x + 2) = 52

Multiply 4 * 3
2(12x * x + 2) = 52

Multiply x * x
2(12x2 + 2) = 52

Reorder the terms:
2(2 + 12x2) = 52
(2 * 2 + 12x2 * 2) = 52
(4 + 24x2) = 52

Solving
4 + 24x2 = 52

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 24x2 = 52 + -4

Combine like terms: 4 + -4 = 0
0 + 24x2 = 52 + -4
24x2 = 52 + -4

Combine like terms: 52 + -4 = 48
24x2 = 48

Divide each side by '24'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}