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Simplifying (14h4 + 3h3) + -1(9h4 + 2h3) = 0 Reorder the terms: (3h3 + 14h4) + -1(9h4 + 2h3) = 0 Remove parenthesis around (3h3 + 14h4) 3h3 + 14h4 + -1(9h4 + 2h3) = 0 Reorder the terms: 3h3 + 14h4 + -1(2h3 + 9h4) = 0 3h3 + 14h4 + (2h3 * -1 + 9h4 * -1) = 0 3h3 + 14h4 + (-2h3 + -9h4) = 0 Reorder the terms: 3h3 + -2h3 + 14h4 + -9h4 = 0 Combine like terms: 3h3 + -2h3 = 1h3 1h3 + 14h4 + -9h4 = 0 Combine like terms: 14h4 + -9h4 = 5h4 1h3 + 5h4 = 0 Solving 1h3 + 5h4 = 0 Solving for variable 'h'. Factor out the Greatest Common Factor (GCF), 'h3'. h3(1 + 5h) = 0Subproblem 1
Set the factor 'h3' equal to zero and attempt to solve: Simplifying h3 = 0 Solving h3 = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h3 = 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 '(1 + 5h)' equal to zero and attempt to solve: Simplifying 1 + 5h = 0 Solving 1 + 5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5h = 0 + -1 5h = 0 + -1 Combine like terms: 0 + -1 = -1 5h = -1 Divide each side by '5'. h = -0.2 Simplifying h = -0.2Solution
h = {-0.2}
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