25w^2-3=10w

Solution for 25w^2-3=10w equation:

Simplifying
25w2 + -3 = 10w

Reorder the terms:
-3 + 25w2 = 10w

Solving
-3 + 25w2 = 10w

Solving for variable 'w'.

Reorder the terms:
-3 + -10w + 25w2 = 10w + -10w

Combine like terms: 10w + -10w = 0
-3 + -10w + 25w2 = 0

Factor a trinomial.
(-1 + -5w)(3 + -5w) = 0

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

Simplifying
-1 + -5w = 0

Solving
-1 + -5w = 0

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

Add '1' to each side of the equation.
-1 + 1 + -5w = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5w = 0 + 1
-5w = 0 + 1

Combine like terms: 0 + 1 = 1
-5w = 1

Divide each side by '-5'.
w = -0.2

Simplifying
w = -0.2
Subproblem 2
Set the factor '(3 + -5w)' equal to zero and attempt to solve:

Simplifying
3 + -5w = 0

Solving
3 + -5w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5w = 0 + -3
-5w = 0 + -3

Combine like terms: 0 + -3 = -3
-5w = -3

Divide each side by '-5'.
w = 0.6

Simplifying
w = 0.6
Solution
w = {-0.2, 0.6}