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Simplifying 0 = (36 + -2w) * xw Reorder the terms for easier multiplication: 0 = wx(36 + -2w) 0 = (36 * wx + -2w * wx) 0 = (36wx + -2w2x) Solving 0 = 36wx + -2w2x Solving for variable 'w'. Remove the zero: -36wx + 2w2x = 36wx + -2w2x + -36wx + 2w2x Reorder the terms: -36wx + 2w2x = 36wx + -36wx + -2w2x + 2w2x Combine like terms: 36wx + -36wx = 0 -36wx + 2w2x = 0 + -2w2x + 2w2x -36wx + 2w2x = -2w2x + 2w2x Combine like terms: -2w2x + 2w2x = 0 -36wx + 2w2x = 0 Factor out the Greatest Common Factor (GCF), '2wx'. 2wx(-18 + w) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'wx' equal to zero and attempt to solve: Simplifying wx = 0 Solving wx = 0 Move all terms containing w to the left, all other terms to the right. Simplifying wx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-18 + w)' equal to zero and attempt to solve: Simplifying -18 + w = 0 Solving -18 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + w = 0 + 18 w = 0 + 18 Combine like terms: 0 + 18 = 18 w = 18 Simplifying w = 18Solution
w = {18}
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