25x^2-20x+4-(16x^2+8x+1)=0

Solution for 25x^2-20x+4-(16x^2+8x+1)=0 equation:

Simplifying
25x2 + -20x + 4 + -1(16x2 + 8x + 1) = 0

Reorder the terms:
25x2 + -20x + 4 + -1(1 + 8x + 16x2) = 0
25x2 + -20x + 4 + (1 * -1 + 8x * -1 + 16x2 * -1) = 0
25x2 + -20x + 4 + (-1 + -8x + -16x2) = 0

Reorder the terms:
4 + -1 + -20x + -8x + 25x2 + -16x2 = 0

Combine like terms: 4 + -1 = 3
3 + -20x + -8x + 25x2 + -16x2 = 0

Combine like terms: -20x + -8x = -28x
3 + -28x + 25x2 + -16x2 = 0

Combine like terms: 25x2 + -16x2 = 9x2
3 + -28x + 9x2 = 0

Solving
3 + -28x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -9x)(3 + -1x) = 0

Subproblem 1
Set the factor '(1 + -9x)' equal to zero and attempt to solve:

Simplifying
1 + -9x = 0

Solving
1 + -9x = 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 + -9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 0 + -1
-9x = 0 + -1

Combine like terms: 0 + -1 = -1
-9x = -1

Divide each side by '-9'.
x = 0.1111111111

Simplifying
x = 0.1111111111
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {0.1111111111, 3}