(10w^3-5)(9w^8+2w^5-w^3)=

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Solution for (10w^3-5)(9w^8+2w^5-w^3)= equation:


Simplifying
(10w3 + -5)(9w8 + 2w5 + -1w3) = 0

Reorder the terms:
(-5 + 10w3)(9w8 + 2w5 + -1w3) = 0

Reorder the terms:
(-5 + 10w3)(-1w3 + 2w5 + 9w8) = 0

Multiply (-5 + 10w3) * (-1w3 + 2w5 + 9w8)
(-5(-1w3 + 2w5 + 9w8) + 10w3 * (-1w3 + 2w5 + 9w8)) = 0
((-1w3 * -5 + 2w5 * -5 + 9w8 * -5) + 10w3 * (-1w3 + 2w5 + 9w8)) = 0
((5w3 + -10w5 + -45w8) + 10w3 * (-1w3 + 2w5 + 9w8)) = 0
(5w3 + -10w5 + -45w8 + (-1w3 * 10w3 + 2w5 * 10w3 + 9w8 * 10w3)) = 0
(5w3 + -10w5 + -45w8 + (-10w6 + 20w8 + 90w11)) = 0

Reorder the terms:
(5w3 + -10w5 + -10w6 + -45w8 + 20w8 + 90w11) = 0

Combine like terms: -45w8 + 20w8 = -25w8
(5w3 + -10w5 + -10w6 + -25w8 + 90w11) = 0

Solving
5w3 + -10w5 + -10w6 + -25w8 + 90w11 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5w3'.
5w3(1 + -2w2 + -2w3 + -5w5 + 18w8) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'w3' equal to zero and attempt to solve: Simplifying w3 = 0 Solving w3 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + -2w2 + -2w3 + -5w5 + 18w8)' equal to zero and attempt to solve: Simplifying 1 + -2w2 + -2w3 + -5w5 + 18w8 = 0 Solving 1 + -2w2 + -2w3 + -5w5 + 18w8 = 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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