25x^2+6x-31=0

Solution for 25x^2+6x-31=0 equation:

Simplifying
25x2 + 6x + -31 = 0

Reorder the terms:
-31 + 6x + 25x2 = 0

Solving
-31 + 6x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-31 + -25x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-31 + -25x)' equal to zero and attempt to solve:

Simplifying
-31 + -25x = 0

Solving
-31 + -25x = 0

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

Add '31' to each side of the equation.
-31 + 31 + -25x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -25x = 0 + 31
-25x = 0 + 31

Combine like terms: 0 + 31 = 31
-25x = 31

Divide each side by '-25'.
x = -1.24

Simplifying
x = -1.24
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-1.24, 1}