16r*16r+6=42

Solution for 16r*16r+6=42 equation:

Simplifying
16r * 16r + 6 = 42

Reorder the terms for easier multiplication:
16 * 16r * r + 6 = 42

Multiply 16 * 16
256r * r + 6 = 42

Multiply r * r
256r2 + 6 = 42

Reorder the terms:
6 + 256r2 = 42

Solving
6 + 256r2 = 42

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + -6 + 256r2 = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 256r2 = 42 + -6
256r2 = 42 + -6

Combine like terms: 42 + -6 = 36
256r2 = 36

Divide each side by '256'.
r2 = 0.140625

Simplifying
r2 = 0.140625

Take the square root of each side:
r = {-0.375, 0.375}