(3w-5)w=28

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Solution for (3w-5)w=28 equation: 


Simplifying
(3w + -5) * w = 28

Reorder the terms:
(-5 + 3w) * w = 28

Reorder the terms for easier multiplication:
w(-5 + 3w) = 28
(-5 * w + 3w * w) = 28
(-5w + 3w2) = 28

Solving
-5w + 3w2 = 28

Solving for variable 'w'.

Reorder the terms:
-28 + -5w + 3w2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + -5w + 3w2 = 0

Factor a trinomial.
(-7 + -3w)(4 + -1w) = 0


Subproblem 1
Set the factor '(-7 + -3w)' equal to zero and attempt to solve:

Simplifying
-7 + -3w = 0

Solving
-7 + -3w = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3w = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3w = 0 + 7
-3w = 0 + 7

Combine like terms: 0 + 7 = 7
-3w = 7

Divide each side by '-3'.
w = -2.333333333

Simplifying
w = -2.333333333

Subproblem 2
Set the factor '(4 + -1w)' equal to zero and attempt to solve:

Simplifying
4 + -1w = 0

Solving
4 + -1w = 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 + -1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1w = 0 + -4
-1w = 0 + -4

Combine like terms: 0 + -4 = -4
-1w = -4

Divide each side by '-1'.
w = 4

Simplifying
w = 4
Solution
w = {-2.333333333, 4}

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