w^2-11w-110=-110

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Solution for w^2-11w-110=-110 equation:


Simplifying
w2 + -11w + -110 = -110

Reorder the terms:
-110 + -11w + w2 = -110

Add '110' to each side of the equation.
-110 + -11w + 110 + w2 = -110 + 110

Reorder the terms:
-110 + 110 + -11w + w2 = -110 + 110

Combine like terms: -110 + 110 = 0
0 + -11w + w2 = -110 + 110
-11w + w2 = -110 + 110

Combine like terms: -110 + 110 = 0
-11w + w2 = 0

Solving
-11w + w2 = 0

Solving for variable 'w'.

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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