(7x-4)2-75=0

Solution for (7x-4)2-75=0 equation:

Simplifying
(7x + -4) * 2 + -75 = 0

Reorder the terms:
(-4 + 7x) * 2 + -75 = 0

Reorder the terms for easier multiplication:
2(-4 + 7x) + -75 = 0
(-4 * 2 + 7x * 2) + -75 = 0
(-8 + 14x) + -75 = 0

Reorder the terms:
-8 + -75 + 14x = 0

Combine like terms: -8 + -75 = -83
-83 + 14x = 0

Solving
-83 + 14x = 0

Solving for variable 'x'.

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

Add '83' to each side of the equation.
-83 + 83 + 14x = 0 + 83

Combine like terms: -83 + 83 = 0
0 + 14x = 0 + 83
14x = 0 + 83

Combine like terms: 0 + 83 = 83
14x = 83

Divide each side by '14'.
x = 5.928571429

Simplifying
x = 5.928571429