(6w^2-4w+6)(2w^2-5w-3)=0

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Solution for (6w^2-4w+6)(2w^2-5w-3)=0 equation: 


Simplifying
(6w2 + -4w + 6)(2w2 + -5w + -3) = 0

Reorder the terms:
(6 + -4w + 6w2)(2w2 + -5w + -3) = 0

Reorder the terms:
(6 + -4w + 6w2)(-3 + -5w + 2w2) = 0

Multiply (6 + -4w + 6w2) * (-3 + -5w + 2w2)
(6(-3 + -5w + 2w2) + -4w * (-3 + -5w + 2w2) + 6w2 * (-3 + -5w + 2w2)) = 0
((-3 * 6 + -5w * 6 + 2w2 * 6) + -4w * (-3 + -5w + 2w2) + 6w2 * (-3 + -5w + 2w2)) = 0
((-18 + -30w + 12w2) + -4w * (-3 + -5w + 2w2) + 6w2 * (-3 + -5w + 2w2)) = 0
(-18 + -30w + 12w2 + (-3 * -4w + -5w * -4w + 2w2 * -4w) + 6w2 * (-3 + -5w + 2w2)) = 0
(-18 + -30w + 12w2 + (12w + 20w2 + -8w3) + 6w2 * (-3 + -5w + 2w2)) = 0
(-18 + -30w + 12w2 + 12w + 20w2 + -8w3 + (-3 * 6w2 + -5w * 6w2 + 2w2 * 6w2)) = 0
(-18 + -30w + 12w2 + 12w + 20w2 + -8w3 + (-18w2 + -30w3 + 12w4)) = 0

Reorder the terms:
(-18 + -30w + 12w + 12w2 + 20w2 + -18w2 + -8w3 + -30w3 + 12w4) = 0

Combine like terms: -30w + 12w = -18w
(-18 + -18w + 12w2 + 20w2 + -18w2 + -8w3 + -30w3 + 12w4) = 0

Combine like terms: 12w2 + 20w2 = 32w2
(-18 + -18w + 32w2 + -18w2 + -8w3 + -30w3 + 12w4) = 0

Combine like terms: 32w2 + -18w2 = 14w2
(-18 + -18w + 14w2 + -8w3 + -30w3 + 12w4) = 0

Combine like terms: -8w3 + -30w3 = -38w3
(-18 + -18w + 14w2 + -38w3 + 12w4) = 0

Solving
-18 + -18w + 14w2 + -38w3 + 12w4 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -9w + 7w2 + -19w3 + 6w4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -9w + 7w2 + -19w3 + 6w4)' equal to zero and attempt to solve:

Simplifying
-9 + -9w + 7w2 + -19w3 + 6w4 = 0

Solving
-9 + -9w + 7w2 + -19w3 + 6w4 = 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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