w(w+5)2(w+5)(w-3)=70

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Solution for w(w+5)2(w+5)(w-3)=70 equation:


Simplifying
w(w + 5) * 2(w + 5)(w + -3) = 70

Reorder the terms:
w(5 + w) * 2(w + 5)(w + -3) = 70

Reorder the terms:
w(5 + w) * 2(5 + w)(w + -3) = 70

Reorder the terms:
w(5 + w) * 2(5 + w)(-3 + w) = 70

Reorder the terms for easier multiplication:
2w(5 + w)(5 + w)(-3 + w) = 70

Multiply (5 + w) * (5 + w)
2w(5(5 + w) + w(5 + w))(-3 + w) = 70
2w((5 * 5 + w * 5) + w(5 + w))(-3 + w) = 70
2w((25 + 5w) + w(5 + w))(-3 + w) = 70
2w(25 + 5w + (5 * w + w * w))(-3 + w) = 70
2w(25 + 5w + (5w + w2))(-3 + w) = 70

Combine like terms: 5w + 5w = 10w
2w(25 + 10w + w2)(-3 + w) = 70

Multiply (25 + 10w + w2) * (-3 + w)
2w(25(-3 + w) + 10w * (-3 + w) + w2(-3 + w)) = 70
2w((-3 * 25 + w * 25) + 10w * (-3 + w) + w2(-3 + w)) = 70
2w((-75 + 25w) + 10w * (-3 + w) + w2(-3 + w)) = 70
2w(-75 + 25w + (-3 * 10w + w * 10w) + w2(-3 + w)) = 70
2w(-75 + 25w + (-30w + 10w2) + w2(-3 + w)) = 70
2w(-75 + 25w + -30w + 10w2 + (-3 * w2 + w * w2)) = 70
2w(-75 + 25w + -30w + 10w2 + (-3w2 + w3)) = 70

Combine like terms: 25w + -30w = -5w
2w(-75 + -5w + 10w2 + -3w2 + w3) = 70

Combine like terms: 10w2 + -3w2 = 7w2
2w(-75 + -5w + 7w2 + w3) = 70
(-75 * 2w + -5w * 2w + 7w2 * 2w + w3 * 2w) = 70
(-150w + -10w2 + 14w3 + 2w4) = 70

Solving
-150w + -10w2 + 14w3 + 2w4 = 70

Solving for variable 'w'.

Reorder the terms:
-70 + -150w + -10w2 + 14w3 + 2w4 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + -150w + -10w2 + 14w3 + 2w4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + -75w + -5w2 + 7w3 + w4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-35 + -75w + -5w2 + 7w3 + w4)' equal to zero and attempt to solve: Simplifying -35 + -75w + -5w2 + 7w3 + w4 = 0 Solving -35 + -75w + -5w2 + 7w3 + w4 = 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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