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Simplifying 7h2 + 58h + 63 = 0 Reorder the terms: 63 + 58h + 7h2 = 0 Solving 63 + 58h + 7h2 = 0 Solving for variable 'h'. Factor a trinomial. (7 + h)(9 + 7h) = 0Subproblem 1
Set the factor '(7 + h)' equal to zero and attempt to solve: Simplifying 7 + h = 0 Solving 7 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + h = 0 + -7 h = 0 + -7 Combine like terms: 0 + -7 = -7 h = -7 Simplifying h = -7Subproblem 2
Set the factor '(9 + 7h)' equal to zero and attempt to solve: Simplifying 9 + 7h = 0 Solving 9 + 7h = 0 Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7h = 0 + -9 7h = 0 + -9 Combine like terms: 0 + -9 = -9 7h = -9 Divide each side by '7'. h = -1.285714286 Simplifying h = -1.285714286Solution
h = {-7, -1.285714286}
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