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Simplifying 10h2 + -23hj + -5j2 = 0 Reorder the terms: -23hj + 10h2 + -5j2 = 0 Solving -23hj + 10h2 + -5j2 = 0 Solving for variable 'h'. Factor a trinomial. (2h + -5j)(5h + j) = 0Subproblem 1
Set the factor '(2h + -5j)' equal to zero and attempt to solve: Simplifying 2h + -5j = 0 Solving 2h + -5j = 0 Move all terms containing h to the left, all other terms to the right. Add '5j' to each side of the equation. 2h + -5j + 5j = 0 + 5j Combine like terms: -5j + 5j = 0 2h + 0 = 0 + 5j 2h = 0 + 5j Remove the zero: 2h = 5j Divide each side by '2'. h = 2.5j Simplifying h = 2.5jSubproblem 2
Set the factor '(5h + j)' equal to zero and attempt to solve: Simplifying 5h + j = 0 Solving 5h + j = 0 Move all terms containing h to the left, all other terms to the right. Add '-1j' to each side of the equation. 5h + j + -1j = 0 + -1j Combine like terms: j + -1j = 0 5h + 0 = 0 + -1j 5h = 0 + -1j Remove the zero: 5h = -1j Divide each side by '5'. h = -0.2j Simplifying h = -0.2jSolution
h = {2.5j, -0.2j}
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