25x^2+35x-1=-13

Solution for 25x^2+35x-1=-13 equation:

Simplifying
25x2 + 35x + -1 = -13

Reorder the terms:
-1 + 35x + 25x2 = -13

Solving
-1 + 35x + 25x2 = -13

Solving for variable 'x'.

Reorder the terms:
-1 + 13 + 35x + 25x2 = -13 + 13

Combine like terms: -1 + 13 = 12
12 + 35x + 25x2 = -13 + 13

Combine like terms: -13 + 13 = 0
12 + 35x + 25x2 = 0

Factor a trinomial.
(4 + 5x)(3 + 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 '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {-0.8, -0.6}