4ax(7ax+5ax-4ax)+3=324

Solution for 4ax(7ax+5ax-4ax)+3=324 equation:

Simplifying
4ax(7ax + 5ax + -4ax) + 3 = 324

Combine like terms: 7ax + 5ax = 12ax
4ax(12ax + -4ax) + 3 = 324

Combine like terms: 12ax + -4ax = 8ax
4ax(8ax) + 3 = 324

Remove parenthesis around (8ax)
4ax * 8ax + 3 = 324

Reorder the terms for easier multiplication:
4 * 8ax * ax + 3 = 324

Multiply 4 * 8
32ax * ax + 3 = 324

Multiply ax * ax
32a2x2 + 3 = 324

Reorder the terms:
3 + 32a2x2 = 324

Solving
3 + 32a2x2 = 324

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 32a2x2 = 324 + -3

Combine like terms: 3 + -3 = 0
0 + 32a2x2 = 324 + -3
32a2x2 = 324 + -3

Combine like terms: 324 + -3 = 321
32a2x2 = 321

Divide each side by '32x2'.
a2 = 10.03125x-2

Simplifying
a2 = 10.03125x-2

Take the square root of each side:
a = {-3.167214865x-1, 3.167214865x-1}