(w^2-w-6)(5w-35)=0

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Solution for (w^2-w-6)(5w-35)=0 equation:


Simplifying
(w2 + -1w + -6)(5w + -35) = 0

Reorder the terms:
(-6 + -1w + w2)(5w + -35) = 0

Reorder the terms:
(-6 + -1w + w2)(-35 + 5w) = 0

Multiply (-6 + -1w + w2) * (-35 + 5w)
(-6(-35 + 5w) + -1w * (-35 + 5w) + w2(-35 + 5w)) = 0
((-35 * -6 + 5w * -6) + -1w * (-35 + 5w) + w2(-35 + 5w)) = 0
((210 + -30w) + -1w * (-35 + 5w) + w2(-35 + 5w)) = 0
(210 + -30w + (-35 * -1w + 5w * -1w) + w2(-35 + 5w)) = 0
(210 + -30w + (35w + -5w2) + w2(-35 + 5w)) = 0
(210 + -30w + 35w + -5w2 + (-35 * w2 + 5w * w2)) = 0
(210 + -30w + 35w + -5w2 + (-35w2 + 5w3)) = 0

Combine like terms: -30w + 35w = 5w
(210 + 5w + -5w2 + -35w2 + 5w3) = 0

Combine like terms: -5w2 + -35w2 = -40w2
(210 + 5w + -40w2 + 5w3) = 0

Solving
210 + 5w + -40w2 + 5w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(42 + w + -8w2 + w3) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(42 + w + -8w2 + w3)' equal to zero and attempt to solve: Simplifying 42 + w + -8w2 + w3 = 0 Solving 42 + w + -8w2 + 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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