x^2-6x-12=(w-3)(w+5)

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Solution for x^2-6x-12=(w-3)(w+5) equation:


Simplifying
x2 + -6x + -12 = (w + -3)(w + 5)

Reorder the terms:
-12 + -6x + x2 = (w + -3)(w + 5)

Reorder the terms:
-12 + -6x + x2 = (-3 + w)(w + 5)

Reorder the terms:
-12 + -6x + x2 = (-3 + w)(5 + w)

Multiply (-3 + w) * (5 + w)
-12 + -6x + x2 = (-3(5 + w) + w(5 + w))
-12 + -6x + x2 = ((5 * -3 + w * -3) + w(5 + w))
-12 + -6x + x2 = ((-15 + -3w) + w(5 + w))
-12 + -6x + x2 = (-15 + -3w + (5 * w + w * w))
-12 + -6x + x2 = (-15 + -3w + (5w + w2))

Combine like terms: -3w + 5w = 2w
-12 + -6x + x2 = (-15 + 2w + w2)

Solving
-12 + -6x + x2 = -15 + 2w + w2

Solving for variable 'x'.

Reorder the terms:
-12 + 15 + -2w + -1w2 + -6x + x2 = -15 + 2w + w2 + 15 + -2w + -1w2

Combine like terms: -12 + 15 = 3
3 + -2w + -1w2 + -6x + x2 = -15 + 2w + w2 + 15 + -2w + -1w2

Reorder the terms:
3 + -2w + -1w2 + -6x + x2 = -15 + 15 + 2w + -2w + w2 + -1w2

Combine like terms: -15 + 15 = 0
3 + -2w + -1w2 + -6x + x2 = 0 + 2w + -2w + w2 + -1w2
3 + -2w + -1w2 + -6x + x2 = 2w + -2w + w2 + -1w2

Combine like terms: 2w + -2w = 0
3 + -2w + -1w2 + -6x + x2 = 0 + w2 + -1w2
3 + -2w + -1w2 + -6x + x2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
3 + -2w + -1w2 + -6x + x2 = 0

The solution to this equation could not be determined.

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