(w-4)(w+7)(w+2)=4

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Solution for (w-4)(w+7)(w+2)=4 equation:


Simplifying
(w + -4)(w + 7)(w + 2) = 4

Reorder the terms:
(-4 + w)(w + 7)(w + 2) = 4

Reorder the terms:
(-4 + w)(7 + w)(w + 2) = 4

Reorder the terms:
(-4 + w)(7 + w)(2 + w) = 4

Multiply (-4 + w) * (7 + w)
(-4(7 + w) + w(7 + w))(2 + w) = 4
((7 * -4 + w * -4) + w(7 + w))(2 + w) = 4
((-28 + -4w) + w(7 + w))(2 + w) = 4
(-28 + -4w + (7 * w + w * w))(2 + w) = 4
(-28 + -4w + (7w + w2))(2 + w) = 4

Combine like terms: -4w + 7w = 3w
(-28 + 3w + w2)(2 + w) = 4

Multiply (-28 + 3w + w2) * (2 + w)
(-28(2 + w) + 3w * (2 + w) + w2(2 + w)) = 4
((2 * -28 + w * -28) + 3w * (2 + w) + w2(2 + w)) = 4
((-56 + -28w) + 3w * (2 + w) + w2(2 + w)) = 4
(-56 + -28w + (2 * 3w + w * 3w) + w2(2 + w)) = 4
(-56 + -28w + (6w + 3w2) + w2(2 + w)) = 4
(-56 + -28w + 6w + 3w2 + (2 * w2 + w * w2)) = 4
(-56 + -28w + 6w + 3w2 + (2w2 + w3)) = 4

Combine like terms: -28w + 6w = -22w
(-56 + -22w + 3w2 + 2w2 + w3) = 4

Combine like terms: 3w2 + 2w2 = 5w2
(-56 + -22w + 5w2 + w3) = 4

Solving
-56 + -22w + 5w2 + w3 = 4

Solving for variable 'w'.

Reorder the terms:
-56 + -4 + -22w + 5w2 + w3 = 4 + -4

Combine like terms: -56 + -4 = -60
-60 + -22w + 5w2 + w3 = 4 + -4

Combine like terms: 4 + -4 = 0
-60 + -22w + 5w2 + w3 = 0

The solution to this equation could not be determined.

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