(2w-3)(3w-8)=0

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Solution for (2w-3)(3w-8)=0 equation: 


Simplifying
(2w + -3)(3w + -8) = 0

Reorder the terms:
(-3 + 2w)(3w + -8) = 0

Reorder the terms:
(-3 + 2w)(-8 + 3w) = 0

Multiply (-3 + 2w) * (-8 + 3w)
(-3(-8 + 3w) + 2w * (-8 + 3w)) = 0
((-8 * -3 + 3w * -3) + 2w * (-8 + 3w)) = 0
((24 + -9w) + 2w * (-8 + 3w)) = 0
(24 + -9w + (-8 * 2w + 3w * 2w)) = 0
(24 + -9w + (-16w + 6w2)) = 0

Combine like terms: -9w + -16w = -25w
(24 + -25w + 6w2) = 0

Solving
24 + -25w + 6w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(3 + -2w)(8 + -3w) = 0


Subproblem 1
Set the factor '(3 + -2w)' equal to zero and attempt to solve:

Simplifying
3 + -2w = 0

Solving
3 + -2w = 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 + -2w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2w = 0 + -3
-2w = 0 + -3

Combine like terms: 0 + -3 = -3
-2w = -3

Divide each side by '-2'.
w = 1.5

Simplifying
w = 1.5

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 = {1.5, 2.666666667}

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