(w)(w-1)-22=(w+5)(w-5)

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Solution for (w)(w-1)-22=(w+5)(w-5) equation:


Simplifying
(w)(w + -1) + -22 = (w + 5)(w + -5)

Reorder the terms:
w(-1 + w) + -22 = (w + 5)(w + -5)
(-1 * w + w * w) + -22 = (w + 5)(w + -5)
(-1w + w2) + -22 = (w + 5)(w + -5)

Reorder the terms:
-22 + -1w + w2 = (w + 5)(w + -5)

Reorder the terms:
-22 + -1w + w2 = (5 + w)(w + -5)

Reorder the terms:
-22 + -1w + w2 = (5 + w)(-5 + w)

Multiply (5 + w) * (-5 + w)
-22 + -1w + w2 = (5(-5 + w) + w(-5 + w))
-22 + -1w + w2 = ((-5 * 5 + w * 5) + w(-5 + w))
-22 + -1w + w2 = ((-25 + 5w) + w(-5 + w))
-22 + -1w + w2 = (-25 + 5w + (-5 * w + w * w))
-22 + -1w + w2 = (-25 + 5w + (-5w + w2))

Combine like terms: 5w + -5w = 0
-22 + -1w + w2 = (-25 + 0 + w2)
-22 + -1w + w2 = (-25 + w2)

Add '-1w2' to each side of the equation.
-22 + -1w + w2 + -1w2 = -25 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-22 + -1w + 0 = -25 + w2 + -1w2
-22 + -1w = -25 + w2 + -1w2

Combine like terms: w2 + -1w2 = 0
-22 + -1w = -25 + 0
-22 + -1w = -25

Solving
-22 + -1w = -25

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '22' to each side of the equation.
-22 + 22 + -1w = -25 + 22

Combine like terms: -22 + 22 = 0
0 + -1w = -25 + 22
-1w = -25 + 22

Combine like terms: -25 + 22 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3

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