25x^2-8x+1=-18x

Solution for 25x^2-8x+1=-18x equation:

Simplifying
25x2 + -8x + 1 = -18x

Reorder the terms:
1 + -8x + 25x2 = -18x

Solving
1 + -8x + 25x2 = -18x

Solving for variable 'x'.

Reorder the terms:
1 + -8x + 18x + 25x2 = -18x + 18x

Combine like terms: -8x + 18x = 10x
1 + 10x + 25x2 = -18x + 18x

Combine like terms: -18x + 18x = 0
1 + 10x + 25x2 = 0

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

Subproblem 1
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
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 = {-0.2, -0.2}