(w-7)(3w-8)=

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Solution for (w-7)(3w-8)= equation: 


Simplifying
(w + -7)(3w + -8) = 0

Reorder the terms:
(-7 + w)(3w + -8) = 0

Reorder the terms:
(-7 + w)(-8 + 3w) = 0

Multiply (-7 + w) * (-8 + 3w)
(-7(-8 + 3w) + w(-8 + 3w)) = 0
((-8 * -7 + 3w * -7) + w(-8 + 3w)) = 0
((56 + -21w) + w(-8 + 3w)) = 0
(56 + -21w + (-8 * w + 3w * w)) = 0
(56 + -21w + (-8w + 3w2)) = 0

Combine like terms: -21w + -8w = -29w
(56 + -29w + 3w2) = 0

Solving
56 + -29w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + -3w)(7 + -1w) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve:

Simplifying
7 + -1w = 0

Solving
7 + -1w = 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 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7
Solution
w = {2.666666667, 7}

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