(4x+3)2=10

Solution for (4x+3)2=10 equation:

Simplifying
(4x + 3) * 2 = 10

Reorder the terms:
(3 + 4x) * 2 = 10

Reorder the terms for easier multiplication:
2(3 + 4x) = 10
(3 * 2 + 4x * 2) = 10
(6 + 8x) = 10

Solving
6 + 8x = 10

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 8x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 10 + -6
8x = 10 + -6

Combine like terms: 10 + -6 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5