(w^2-4w-21)(9w-18)=0

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Solution for (w^2-4w-21)(9w-18)=0 equation:


Simplifying
(w2 + -4w + -21)(9w + -18) = 0

Reorder the terms:
(-21 + -4w + w2)(9w + -18) = 0

Reorder the terms:
(-21 + -4w + w2)(-18 + 9w) = 0

Multiply (-21 + -4w + w2) * (-18 + 9w)
(-21(-18 + 9w) + -4w * (-18 + 9w) + w2(-18 + 9w)) = 0
((-18 * -21 + 9w * -21) + -4w * (-18 + 9w) + w2(-18 + 9w)) = 0
((378 + -189w) + -4w * (-18 + 9w) + w2(-18 + 9w)) = 0
(378 + -189w + (-18 * -4w + 9w * -4w) + w2(-18 + 9w)) = 0
(378 + -189w + (72w + -36w2) + w2(-18 + 9w)) = 0
(378 + -189w + 72w + -36w2 + (-18 * w2 + 9w * w2)) = 0
(378 + -189w + 72w + -36w2 + (-18w2 + 9w3)) = 0

Combine like terms: -189w + 72w = -117w
(378 + -117w + -36w2 + -18w2 + 9w3) = 0

Combine like terms: -36w2 + -18w2 = -54w2
(378 + -117w + -54w2 + 9w3) = 0

Solving
378 + -117w + -54w2 + 9w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '9'.
9(42 + -13w + -6w2 + w3) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(42 + -13w + -6w2 + w3)' equal to zero and attempt to solve: Simplifying 42 + -13w + -6w2 + w3 = 0 Solving 42 + -13w + -6w2 + 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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