5w^2=26w+24

Solution for 5w^2=26w+24 equation:

Simplifying
5w2 = 26w + 24

Reorder the terms:
5w2 = 24 + 26w

Solving
5w2 = 24 + 26w

Solving for variable 'w'.

Reorder the terms:
-24 + -26w + 5w2 = 24 + 26w + -24 + -26w

Reorder the terms:
-24 + -26w + 5w2 = 24 + -24 + 26w + -26w

Combine like terms: 24 + -24 = 0
-24 + -26w + 5w2 = 0 + 26w + -26w
-24 + -26w + 5w2 = 26w + -26w

Combine like terms: 26w + -26w = 0
-24 + -26w + 5w2 = 0

Factor a trinomial.
(-4 + -5w)(6 + -1w) = 0

Subproblem 1
Set the factor '(-4 + -5w)' equal to zero and attempt to solve:

Simplifying
-4 + -5w = 0

Solving
-4 + -5w = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5w = 0 + 4
-5w = 0 + 4

Combine like terms: 0 + 4 = 4
-5w = 4

Divide each side by '-5'.
w = -0.8

Simplifying
w = -0.8
Subproblem 2
Set the factor '(6 + -1w)' equal to zero and attempt to solve:

Simplifying
6 + -1w = 0

Solving
6 + -1w = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1w = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 0 + -6
-1w = 0 + -6

Combine like terms: 0 + -6 = -6
-1w = -6

Divide each side by '-1'.
w = 6

Simplifying
w = 6
Solution
w = {-0.8, 6}