16x^2+41x+25=0

Solution for 16x^2+41x+25=0 equation:

Simplifying
16x2 + 41x + 25 = 0

Reorder the terms:
25 + 41x + 16x2 = 0

Solving
25 + 41x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(25 + 16x)(1 + x) = 0

Subproblem 1
Set the factor '(25 + 16x)' equal to zero and attempt to solve:

Simplifying
25 + 16x = 0

Solving
25 + 16x = 0

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

Add '-25' to each side of the equation.
25 + -25 + 16x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 16x = 0 + -25
16x = 0 + -25

Combine like terms: 0 + -25 = -25
16x = -25

Divide each side by '16'.
x = -1.5625

Simplifying
x = -1.5625
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-1.5625, -1}