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Simplifying 0 = 3Lw + 3wh + 5hL Reorder the terms: 0 = 5hL + 3hw + 3wL Solving 0 = 5hL + 3hw + 3wL Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5hL' to each side of the equation. 0 + -5hL = 5hL + 3hw + -5hL + 3wL Remove the zero: -5hL = 5hL + 3hw + -5hL + 3wL Reorder the terms: -5hL = 5hL + -5hL + 3hw + 3wL Combine like terms: 5hL + -5hL = 0 -5hL = 0 + 3hw + 3wL -5hL = 3hw + 3wL Add '-3hw' to each side of the equation. -5hL + -3hw = 3hw + -3hw + 3wL Combine like terms: 3hw + -3hw = 0 -5hL + -3hw = 0 + 3wL -5hL + -3hw = 3wL Combine like terms: 3wL + -3wL = 0 -5hL + -3hw + -3wL = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5hL + 3hw + 3wL) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5hL + 3hw + 3wL)' equal to zero and attempt to solve: Simplifying 5hL + 3hw + 3wL = 0 Solving 5hL + 3hw + 3wL = 0 Move all terms containing h to the left, all other terms to the right. Add '-3wL' to each side of the equation. 5hL + 3hw + 3wL + -3wL = 0 + -3wL Combine like terms: 3wL + -3wL = 0 5hL + 3hw + 0 = 0 + -3wL 5hL + 3hw = 0 + -3wL Remove the zero: 5hL + 3hw = -3wL 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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