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Simplifying 49h2 + 42h + 9 = 0 Reorder the terms: 9 + 42h + 49h2 = 0 Solving 9 + 42h + 49h2 = 0 Solving for variable 'h'. Factor a trinomial. (3 + 7h)(3 + 7h) = 0Subproblem 1
Set the factor '(3 + 7h)' equal to zero and attempt to solve: Simplifying 3 + 7h = 0 Solving 3 + 7h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7h = 0 + -3 7h = 0 + -3 Combine like terms: 0 + -3 = -3 7h = -3 Divide each side by '7'. h = -0.4285714286 Simplifying h = -0.4285714286Subproblem 2
Set the factor '(3 + 7h)' equal to zero and attempt to solve: Simplifying 3 + 7h = 0 Solving 3 + 7h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7h = 0 + -3 7h = 0 + -3 Combine like terms: 0 + -3 = -3 7h = -3 Divide each side by '7'. h = -0.4285714286 Simplifying h = -0.4285714286Solution
h = {-0.4285714286, -0.4285714286}
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