25x(x+1)=-4

Solution for 25x(x+1)=-4 equation:

Simplifying
25x(x + 1) = -4

Reorder the terms:
25x(1 + x) = -4
(1 * 25x + x * 25x) = -4
(25x + 25x2) = -4

Solving
25x + 25x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + 25x + 25x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 25x + 25x2 = 0

Factor a trinomial.
(4 + 5x)(1 + 5x) = 0

Subproblem 1
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-0.8, -0.2}