(2(9+w))(w-4)=a+84

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Solution for (2(9+w))(w-4)=a+84 equation: 


Simplifying
(2(9 + w))(w + -4) = a + 84
((9 * 2 + w * 2))(w + -4) = a + 84
((18 + 2w))(w + -4) = a + 84

Reorder the terms:
(18 + 2w)(-4 + w) = a + 84

Multiply (18 + 2w) * (-4 + w)
(18(-4 + w) + 2w * (-4 + w)) = a + 84
((-4 * 18 + w * 18) + 2w * (-4 + w)) = a + 84
((-72 + 18w) + 2w * (-4 + w)) = a + 84
(-72 + 18w + (-4 * 2w + w * 2w)) = a + 84
(-72 + 18w + (-8w + 2w2)) = a + 84

Combine like terms: 18w + -8w = 10w
(-72 + 10w + 2w2) = a + 84

Reorder the terms:
-72 + 10w + 2w2 = 84 + a

Solving
-72 + 10w + 2w2 = 84 + a

Solving for variable 'w'.

Reorder the terms:
-72 + -84 + -1a + 10w + 2w2 = 84 + a + -84 + -1a

Combine like terms: -72 + -84 = -156
-156 + -1a + 10w + 2w2 = 84 + a + -84 + -1a

Reorder the terms:
-156 + -1a + 10w + 2w2 = 84 + -84 + a + -1a

Combine like terms: 84 + -84 = 0
-156 + -1a + 10w + 2w2 = 0 + a + -1a
-156 + -1a + 10w + 2w2 = a + -1a

Combine like terms: a + -1a = 0
-156 + -1a + 10w + 2w2 = 0

The solution to this equation could not be determined.

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