(w^2+2w-24)(7w-28)=0

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Solution for (w^2+2w-24)(7w-28)=0 equation: 


Simplifying
(w2 + 2w + -24)(7w + -28) = 0

Reorder the terms:
(-24 + 2w + w2)(7w + -28) = 0

Reorder the terms:
(-24 + 2w + w2)(-28 + 7w) = 0

Multiply (-24 + 2w + w2) * (-28 + 7w)
(-24(-28 + 7w) + 2w * (-28 + 7w) + w2(-28 + 7w)) = 0
((-28 * -24 + 7w * -24) + 2w * (-28 + 7w) + w2(-28 + 7w)) = 0
((672 + -168w) + 2w * (-28 + 7w) + w2(-28 + 7w)) = 0
(672 + -168w + (-28 * 2w + 7w * 2w) + w2(-28 + 7w)) = 0
(672 + -168w + (-56w + 14w2) + w2(-28 + 7w)) = 0
(672 + -168w + -56w + 14w2 + (-28 * w2 + 7w * w2)) = 0
(672 + -168w + -56w + 14w2 + (-28w2 + 7w3)) = 0

Combine like terms: -168w + -56w = -224w
(672 + -224w + 14w2 + -28w2 + 7w3) = 0

Combine like terms: 14w2 + -28w2 = -14w2
(672 + -224w + -14w2 + 7w3) = 0

Solving
672 + -224w + -14w2 + 7w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '7'.
7(96 + -32w + -2w2 + w3) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(96 + -32w + -2w2 + w3)' equal to zero and attempt to solve:

Simplifying
96 + -32w + -2w2 + w3 = 0

Solving
96 + -32w + -2w2 + w3 = 0

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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