16x^2-16x+4=25x^2

Solution for 16x^2-16x+4=25x^2 equation:

Simplifying
16x2 + -16x + 4 = 25x2

Reorder the terms:
4 + -16x + 16x2 = 25x2

Solving
4 + -16x + 16x2 = 25x2

Solving for variable 'x'.

Combine like terms: 16x2 + -25x2 = -9x2
4 + -16x + -9x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
4 + -16x + -9x2 = 0

Factor a trinomial.
(2 + -9x)(2 + x) = 0

Subproblem 1
Set the factor '(2 + -9x)' equal to zero and attempt to solve:

Simplifying
2 + -9x = 0

Solving
2 + -9x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0.2222222222, -2}