25x^2+25x+6.25=12.25

Solution for 25x^2+25x+6.25=12.25 equation:

Simplifying
25x2 + 25x + 6.25 = 12.25

Reorder the terms:
6.25 + 25x + 25x2 = 12.25

Solving
6.25 + 25x + 25x2 = 12.25

Solving for variable 'x'.

Reorder the terms:
6.25 + -12.25 + 25x + 25x2 = 12.25 + -12.25

Combine like terms: 6.25 + -12.25 = -6
-6 + 25x + 25x2 = 12.25 + -12.25

Combine like terms: 12.25 + -12.25 = 0.00
-6 + 25x + 25x2 = 0.00

Factor a trinomial.
(-6 + -5x)(1 + -5x) = 0.00

Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve:

Simplifying
-6 + -5x = 0

Solving
-6 + -5x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 0 + 6
-5x = 0 + 6

Combine like terms: 0 + 6 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2
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 = {-1.2, 0.2}