(w^2-10w+21)(7w+21)=

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Solution for (w^2-10w+21)(7w+21)= equation: 


Simplifying
(w2 + -10w + 21)(7w + 21) = 0

Reorder the terms:
(21 + -10w + w2)(7w + 21) = 0

Reorder the terms:
(21 + -10w + w2)(21 + 7w) = 0

Multiply (21 + -10w + w2) * (21 + 7w)
(21(21 + 7w) + -10w * (21 + 7w) + w2(21 + 7w)) = 0
((21 * 21 + 7w * 21) + -10w * (21 + 7w) + w2(21 + 7w)) = 0
((441 + 147w) + -10w * (21 + 7w) + w2(21 + 7w)) = 0
(441 + 147w + (21 * -10w + 7w * -10w) + w2(21 + 7w)) = 0
(441 + 147w + (-210w + -70w2) + w2(21 + 7w)) = 0
(441 + 147w + -210w + -70w2 + (21 * w2 + 7w * w2)) = 0
(441 + 147w + -210w + -70w2 + (21w2 + 7w3)) = 0

Combine like terms: 147w + -210w = -63w
(441 + -63w + -70w2 + 21w2 + 7w3) = 0

Combine like terms: -70w2 + 21w2 = -49w2
(441 + -63w + -49w2 + 7w3) = 0

Solving
441 + -63w + -49w2 + 7w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '7'.
7(63 + -9w + -7w2 + w3) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(63 + -9w + -7w2 + w3)' equal to zero and attempt to solve:

Simplifying
63 + -9w + -7w2 + w3 = 0

Solving
63 + -9w + -7w2 + 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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