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Simplifying H(4w) = 2 + -4w Remove parenthesis around (4w) H * 4w = 2 + -4w Reorder the terms for easier multiplication: 4H * w = 2 + -4w Multiply H * w 4wH = 2 + -4w Solving 4wH = 2 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 4w + 4wH = 2 + -4w + 4w Combine like terms: -4w + 4w = 0 4w + 4wH = 2 + 0 4w + 4wH = 2 Reorder the terms: -2 + 4w + 4wH = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 4w + 4wH = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 2w + 2wH) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 2w + 2wH)' equal to zero and attempt to solve: Simplifying -1 + 2w + 2wH = 0 Solving -1 + 2w + 2wH = 0 Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2w + 1 + 2wH = 0 + 1 Reorder the terms: -1 + 1 + 2w + 2wH = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2w + 2wH = 0 + 1 2w + 2wH = 0 + 1 Combine like terms: 0 + 1 = 1 2w + 2wH = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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