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Simplifying A(w) = 225w + -1w2 Multiply A * w wA = 225w + -1w2 Solving wA = 225w + -1w2 Solving for variable 'w'. Reorder the terms: -225w + wA + w2 = 225w + -1w2 + -225w + w2 Reorder the terms: -225w + wA + w2 = 225w + -225w + -1w2 + w2 Combine like terms: 225w + -225w = 0 -225w + wA + w2 = 0 + -1w2 + w2 -225w + wA + w2 = -1w2 + w2 Combine like terms: -1w2 + w2 = 0 -225w + wA + w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-225 + A + w) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-225 + A + w)' equal to zero and attempt to solve: Simplifying -225 + A + w = 0 Solving -225 + A + w = 0 Move all terms containing w to the left, all other terms to the right. Add '225' to each side of the equation. -225 + A + 225 + w = 0 + 225 Reorder the terms: -225 + 225 + A + w = 0 + 225 Combine like terms: -225 + 225 = 0 0 + A + w = 0 + 225 A + w = 0 + 225 Combine like terms: 0 + 225 = 225 A + w = 225 Add '-1A' to each side of the equation. A + -1A + w = 225 + -1A Combine like terms: A + -1A = 0 0 + w = 225 + -1A w = 225 + -1A Simplifying w = 225 + -1ASolution
w = {0, 225 + -1A}
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