(W+30)(w+5)-(w+25)w=1350

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Solution for (W+30)(w+5)-(w+25)w=1350 equation: 


Simplifying
(W + 30)(w + 5) + -1(w + 25) * w = 1350

Reorder the terms:
(30 + W)(w + 5) + -1(w + 25) * w = 1350

Reorder the terms:
(30 + W)(5 + w) + -1(w + 25) * w = 1350

Multiply (30 + W) * (5 + w)
(30(5 + w) + W(5 + w)) + -1(w + 25) * w = 1350
((5 * 30 + w * 30) + W(5 + w)) + -1(w + 25) * w = 1350
((150 + 30w) + W(5 + w)) + -1(w + 25) * w = 1350
(150 + 30w + (5 * W + w * W)) + -1(w + 25) * w = 1350
(150 + 30w + (5W + wW)) + -1(w + 25) * w = 1350

Reorder the terms:
(150 + 5W + 30w + wW) + -1(w + 25) * w = 1350
(150 + 5W + 30w + wW) + -1(w + 25) * w = 1350

Reorder the terms:
150 + 5W + 30w + wW + -1(25 + w) * w = 1350

Reorder the terms for easier multiplication:
150 + 5W + 30w + wW + -1w(25 + w) = 1350
150 + 5W + 30w + wW + (25 * -1w + w * -1w) = 1350
150 + 5W + 30w + wW + (-25w + -1w2) = 1350

Reorder the terms:
150 + 5W + 30w + -25w + wW + -1w2 = 1350

Combine like terms: 30w + -25w = 5w
150 + 5W + 5w + wW + -1w2 = 1350

Solving
150 + 5W + 5w + wW + -1w2 = 1350

Solving for variable 'W'.

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

Add '-150' to each side of the equation.
150 + 5W + 5w + wW + -150 + -1w2 = 1350 + -150

Reorder the terms:
150 + -150 + 5W + 5w + wW + -1w2 = 1350 + -150

Combine like terms: 150 + -150 = 0
0 + 5W + 5w + wW + -1w2 = 1350 + -150
5W + 5w + wW + -1w2 = 1350 + -150

Combine like terms: 1350 + -150 = 1200
5W + 5w + wW + -1w2 = 1200

Add '-5w' to each side of the equation.
5W + 5w + wW + -5w + -1w2 = 1200 + -5w

Reorder the terms:
5W + 5w + -5w + wW + -1w2 = 1200 + -5w

Combine like terms: 5w + -5w = 0
5W + 0 + wW + -1w2 = 1200 + -5w
5W + wW + -1w2 = 1200 + -5w

Add 'w2' to each side of the equation.
5W + wW + -1w2 + w2 = 1200 + -5w + w2

Combine like terms: -1w2 + w2 = 0
5W + wW + 0 = 1200 + -5w + w2
5W + wW = 1200 + -5w + w2

Reorder the terms:
-1200 + 5W + 5w + wW + -1w2 = 1200 + -5w + w2 + -1200 + 5w + -1w2

Reorder the terms:
-1200 + 5W + 5w + wW + -1w2 = 1200 + -1200 + -5w + 5w + w2 + -1w2

Combine like terms: 1200 + -1200 = 0
-1200 + 5W + 5w + wW + -1w2 = 0 + -5w + 5w + w2 + -1w2
-1200 + 5W + 5w + wW + -1w2 = -5w + 5w + w2 + -1w2

Combine like terms: -5w + 5w = 0
-1200 + 5W + 5w + wW + -1w2 = 0 + w2 + -1w2
-1200 + 5W + 5w + wW + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-1200 + 5W + 5w + wW + -1w2 = 0

The solution to this equation could not be determined.

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