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Simplifying 36h2 + -12h + 1 = 0 Reorder the terms: 1 + -12h + 36h2 = 0 Solving 1 + -12h + 36h2 = 0 Solving for variable 'h'. Factor a trinomial. (1 + -6h)(1 + -6h) = 0Subproblem 1
Set the factor '(1 + -6h)' equal to zero and attempt to solve: Simplifying 1 + -6h = 0 Solving 1 + -6h = 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 + -6h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6h = 0 + -1 -6h = 0 + -1 Combine like terms: 0 + -1 = -1 -6h = -1 Divide each side by '-6'. h = 0.1666666667 Simplifying h = 0.1666666667Subproblem 2
Set the factor '(1 + -6h)' equal to zero and attempt to solve: Simplifying 1 + -6h = 0 Solving 1 + -6h = 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 + -6h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6h = 0 + -1 -6h = 0 + -1 Combine like terms: 0 + -1 = -1 -6h = -1 Divide each side by '-6'. h = 0.1666666667 Simplifying h = 0.1666666667Solution
h = {0.1666666667, 0.1666666667}
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