64w^2=48w-9

Solution for 64w^2=48w-9 equation:

Simplifying
64w2 = 48w + -9

Reorder the terms:
64w2 = -9 + 48w

Solving
64w2 = -9 + 48w

Solving for variable 'w'.

Reorder the terms:
9 + -48w + 64w2 = -9 + 48w + 9 + -48w

Reorder the terms:
9 + -48w + 64w2 = -9 + 9 + 48w + -48w

Combine like terms: -9 + 9 = 0
9 + -48w + 64w2 = 0 + 48w + -48w
9 + -48w + 64w2 = 48w + -48w

Combine like terms: 48w + -48w = 0
9 + -48w + 64w2 = 0

Factor a trinomial.
(3 + -8w)(3 + -8w) = 0

Subproblem 1
Set the factor '(3 + -8w)' equal to zero and attempt to solve:

Simplifying
3 + -8w = 0

Solving
3 + -8w = 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 + -8w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8w = 0 + -3
-8w = 0 + -3

Combine like terms: 0 + -3 = -3
-8w = -3

Divide each side by '-8'.
w = 0.375

Simplifying
w = 0.375
Subproblem 2
Set the factor '(3 + -8w)' equal to zero and attempt to solve:

Simplifying
3 + -8w = 0

Solving
3 + -8w = 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 + -8w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8w = 0 + -3
-8w = 0 + -3

Combine like terms: 0 + -3 = -3
-8w = -3

Divide each side by '-8'.
w = 0.375

Simplifying
w = 0.375
Solution
w = {0.375, 0.375}