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Simplifying 55H2 + -115H + 10 = 0 Reorder the terms: 10 + -115H + 55H2 = 0 Solving 10 + -115H + 55H2 = 0 Solving for variable 'H'. Factor out the Greatest Common Factor (GCF), '5'. 5(2 + -23H + 11H2) = 0 Factor a trinomial. 5((1 + -11H)(2 + -1H)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -11H)' equal to zero and attempt to solve: Simplifying 1 + -11H = 0 Solving 1 + -11H = 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 + -11H = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11H = 0 + -1 -11H = 0 + -1 Combine like terms: 0 + -1 = -1 -11H = -1 Divide each side by '-11'. H = 0.09090909091 Simplifying H = 0.09090909091Subproblem 2
Set the factor '(2 + -1H)' equal to zero and attempt to solve: Simplifying 2 + -1H = 0 Solving 2 + -1H = 0 Move all terms containing H to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1H = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1H = 0 + -2 -1H = 0 + -2 Combine like terms: 0 + -2 = -2 -1H = -2 Divide each side by '-1'. H = 2 Simplifying H = 2Solution
H = {0.09090909091, 2}
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