(w-2)(w+2)=11w-4

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Solution for (w-2)(w+2)=11w-4 equation: 


Simplifying
(w + -2)(w + 2) = 11w + -4

Reorder the terms:
(-2 + w)(w + 2) = 11w + -4

Reorder the terms:
(-2 + w)(2 + w) = 11w + -4

Multiply (-2 + w) * (2 + w)
(-2(2 + w) + w(2 + w)) = 11w + -4
((2 * -2 + w * -2) + w(2 + w)) = 11w + -4
((-4 + -2w) + w(2 + w)) = 11w + -4
(-4 + -2w + (2 * w + w * w)) = 11w + -4
(-4 + -2w + (2w + w2)) = 11w + -4

Combine like terms: -2w + 2w = 0
(-4 + 0 + w2) = 11w + -4
(-4 + w2) = 11w + -4

Reorder the terms:
-4 + w2 = -4 + 11w

Add '4' to each side of the equation.
-4 + 4 + w2 = -4 + 4 + 11w

Combine like terms: -4 + 4 = 0
0 + w2 = -4 + 4 + 11w
w2 = -4 + 4 + 11w

Combine like terms: -4 + 4 = 0
w2 = 0 + 11w
w2 = 11w

Solving
w2 = 11w

Solving for variable 'w'.

Reorder the terms:
-11w + w2 = 11w + -11w

Combine like terms: 11w + -11w = 0
-11w + w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-11 + w) = 0


Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(-11 + w)' equal to zero and attempt to solve:

Simplifying
-11 + w = 0

Solving
-11 + w = 0

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

Add '11' to each side of the equation.
-11 + 11 + w = 0 + 11

Combine like terms: -11 + 11 = 0
0 + w = 0 + 11
w = 0 + 11

Combine like terms: 0 + 11 = 11
w = 11

Simplifying
w = 11
Solution
w = {0, 11}

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