(W^2-w-30)(3w-24)=0

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Solution for (W^2-w-30)(3w-24)=0 equation: 


Simplifying
(W2 + -1w + -30)(3w + -24) = 0

Reorder the terms:
(-30 + W2 + -1w)(3w + -24) = 0

Reorder the terms:
(-30 + W2 + -1w)(-24 + 3w) = 0

Multiply (-30 + W2 + -1w) * (-24 + 3w)
(-30(-24 + 3w) + W2(-24 + 3w) + -1w * (-24 + 3w)) = 0
((-24 * -30 + 3w * -30) + W2(-24 + 3w) + -1w * (-24 + 3w)) = 0
((720 + -90w) + W2(-24 + 3w) + -1w * (-24 + 3w)) = 0
(720 + -90w + (-24 * W2 + 3w * W2) + -1w * (-24 + 3w)) = 0
(720 + -90w + (-24W2 + 3wW2) + -1w * (-24 + 3w)) = 0
(720 + -90w + -24W2 + 3wW2 + (-24 * -1w + 3w * -1w)) = 0
(720 + -90w + -24W2 + 3wW2 + (24w + -3w2)) = 0

Reorder the terms:
(720 + -24W2 + -90w + 24w + 3wW2 + -3w2) = 0

Combine like terms: -90w + 24w = -66w
(720 + -24W2 + -66w + 3wW2 + -3w2) = 0

Solving
720 + -24W2 + -66w + 3wW2 + -3w2 = 0

Solving for variable 'W'.

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

Add '-720' to each side of the equation.
720 + -24W2 + -66w + 3wW2 + -720 + -3w2 = 0 + -720

Reorder the terms:
720 + -720 + -24W2 + -66w + 3wW2 + -3w2 = 0 + -720

Combine like terms: 720 + -720 = 0
0 + -24W2 + -66w + 3wW2 + -3w2 = 0 + -720
-24W2 + -66w + 3wW2 + -3w2 = 0 + -720

Combine like terms: 0 + -720 = -720
-24W2 + -66w + 3wW2 + -3w2 = -720

Add '66w' to each side of the equation.
-24W2 + -66w + 3wW2 + 66w + -3w2 = -720 + 66w

Reorder the terms:
-24W2 + -66w + 66w + 3wW2 + -3w2 = -720 + 66w

Combine like terms: -66w + 66w = 0
-24W2 + 0 + 3wW2 + -3w2 = -720 + 66w
-24W2 + 3wW2 + -3w2 = -720 + 66w

Add '3w2' to each side of the equation.
-24W2 + 3wW2 + -3w2 + 3w2 = -720 + 66w + 3w2

Combine like terms: -3w2 + 3w2 = 0
-24W2 + 3wW2 + 0 = -720 + 66w + 3w2
-24W2 + 3wW2 = -720 + 66w + 3w2

Reorder the terms:
720 + -24W2 + -66w + 3wW2 + -3w2 = -720 + 66w + 3w2 + 720 + -66w + -3w2

Reorder the terms:
720 + -24W2 + -66w + 3wW2 + -3w2 = -720 + 720 + 66w + -66w + 3w2 + -3w2

Combine like terms: -720 + 720 = 0
720 + -24W2 + -66w + 3wW2 + -3w2 = 0 + 66w + -66w + 3w2 + -3w2
720 + -24W2 + -66w + 3wW2 + -3w2 = 66w + -66w + 3w2 + -3w2

Combine like terms: 66w + -66w = 0
720 + -24W2 + -66w + 3wW2 + -3w2 = 0 + 3w2 + -3w2
720 + -24W2 + -66w + 3wW2 + -3w2 = 3w2 + -3w2

Combine like terms: 3w2 + -3w2 = 0
720 + -24W2 + -66w + 3wW2 + -3w2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(240 + -8W2 + -22w + wW2 + -1w2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(240 + -8W2 + -22w + wW2 + -1w2)' equal to zero and attempt to solve:

Simplifying
240 + -8W2 + -22w + wW2 + -1w2 = 0

Solving
240 + -8W2 + -22w + wW2 + -1w2 = 0

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

Add '-240' to each side of the equation.
240 + -8W2 + -22w + wW2 + -240 + -1w2 = 0 + -240

Reorder the terms:
240 + -240 + -8W2 + -22w + wW2 + -1w2 = 0 + -240

Combine like terms: 240 + -240 = 0
0 + -8W2 + -22w + wW2 + -1w2 = 0 + -240
-8W2 + -22w + wW2 + -1w2 = 0 + -240

Combine like terms: 0 + -240 = -240
-8W2 + -22w + wW2 + -1w2 = -240

Add '22w' to each side of the equation.
-8W2 + -22w + wW2 + 22w + -1w2 = -240 + 22w

Reorder the terms:
-8W2 + -22w + 22w + wW2 + -1w2 = -240 + 22w

Combine like terms: -22w + 22w = 0
-8W2 + 0 + wW2 + -1w2 = -240 + 22w
-8W2 + wW2 + -1w2 = -240 + 22w

Add 'w2' to each side of the equation.
-8W2 + wW2 + -1w2 + w2 = -240 + 22w + w2

Combine like terms: -1w2 + w2 = 0
-8W2 + wW2 + 0 = -240 + 22w + w2
-8W2 + wW2 = -240 + 22w + w2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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