4s(4s)-9=19

Solution for 4s(4s)-9=19 equation:

Simplifying
4s(4s) + -9 = 19

Remove parenthesis around (4s)
4s * 4s + -9 = 19

Reorder the terms for easier multiplication:
4 * 4s * s + -9 = 19

Multiply 4 * 4
16s * s + -9 = 19

Multiply s * s
16s2 + -9 = 19

Reorder the terms:
-9 + 16s2 = 19

Solving
-9 + 16s2 = 19

Solving for variable 's'.

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

Add '9' to each side of the equation.
-9 + 9 + 16s2 = 19 + 9

Combine like terms: -9 + 9 = 0
0 + 16s2 = 19 + 9
16s2 = 19 + 9

Combine like terms: 19 + 9 = 28
16s2 = 28

Divide each side by '16'.
s2 = 1.75

Simplifying
s2 = 1.75

Take the square root of each side:
s = {-1.322875656, 1.322875656}