0=12w^2+17w-40

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Solution for 0=12w^2+17w-40 equation: 


Simplifying
0 = 12w2 + 17w + -40

Reorder the terms:
0 = -40 + 17w + 12w2

Solving
0 = -40 + 17w + 12w2

Solving for variable 'w'.

Combine like terms: 0 + 40 = 40
40 + -17w + -12w2 = -40 + 17w + 12w2 + 40 + -17w + -12w2

Reorder the terms:
40 + -17w + -12w2 = -40 + 40 + 17w + -17w + 12w2 + -12w2

Combine like terms: -40 + 40 = 0
40 + -17w + -12w2 = 0 + 17w + -17w + 12w2 + -12w2
40 + -17w + -12w2 = 17w + -17w + 12w2 + -12w2

Combine like terms: 17w + -17w = 0
40 + -17w + -12w2 = 0 + 12w2 + -12w2
40 + -17w + -12w2 = 12w2 + -12w2

Combine like terms: 12w2 + -12w2 = 0
40 + -17w + -12w2 = 0

Factor a trinomial.
(5 + -4w)(8 + 3w) = 0


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

Simplifying
5 + -4w = 0

Solving
5 + -4w = 0

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

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

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

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

Divide each side by '-4'.
w = 1.25

Simplifying
w = 1.25

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

Simplifying
8 + 3w = 0

Solving
8 + 3w = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3w = 0 + -8

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

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

Divide each side by '3'.
w = -2.666666667

Simplifying
w = -2.666666667
Solution
w = {1.25, -2.666666667}

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