(w+4)(w+14)-w(w+10)=216

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Solution for (w+4)(w+14)-w(w+10)=216 equation:


Simplifying
(w + 4)(w + 14) + -1w(w + 10) = 216

Reorder the terms:
(4 + w)(w + 14) + -1w(w + 10) = 216

Reorder the terms:
(4 + w)(14 + w) + -1w(w + 10) = 216

Multiply (4 + w) * (14 + w)
(4(14 + w) + w(14 + w)) + -1w(w + 10) = 216
((14 * 4 + w * 4) + w(14 + w)) + -1w(w + 10) = 216
((56 + 4w) + w(14 + w)) + -1w(w + 10) = 216
(56 + 4w + (14 * w + w * w)) + -1w(w + 10) = 216
(56 + 4w + (14w + w2)) + -1w(w + 10) = 216

Combine like terms: 4w + 14w = 18w
(56 + 18w + w2) + -1w(w + 10) = 216

Reorder the terms:
56 + 18w + w2 + -1w(10 + w) = 216
56 + 18w + w2 + (10 * -1w + w * -1w) = 216
56 + 18w + w2 + (-10w + -1w2) = 216

Reorder the terms:
56 + 18w + -10w + w2 + -1w2 = 216

Combine like terms: 18w + -10w = 8w
56 + 8w + w2 + -1w2 = 216

Combine like terms: w2 + -1w2 = 0
56 + 8w + 0 = 216
56 + 8w = 216

Solving
56 + 8w = 216

Solving for variable 'w'.

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

Add '-56' to each side of the equation.
56 + -56 + 8w = 216 + -56

Combine like terms: 56 + -56 = 0
0 + 8w = 216 + -56
8w = 216 + -56

Combine like terms: 216 + -56 = 160
8w = 160

Divide each side by '8'.
w = 20

Simplifying
w = 20

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