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Simplifying 15h2 + -17hj + -4j2 = 0 Reorder the terms: -17hj + 15h2 + -4j2 = 0 Solving -17hj + 15h2 + -4j2 = 0 Solving for variable 'h'. Factor a trinomial. (3h + -4j)(5h + j) = 0Subproblem 1
Set the factor '(3h + -4j)' equal to zero and attempt to solve: Simplifying 3h + -4j = 0 Solving 3h + -4j = 0 Move all terms containing h to the left, all other terms to the right. Add '4j' to each side of the equation. 3h + -4j + 4j = 0 + 4j Combine like terms: -4j + 4j = 0 3h + 0 = 0 + 4j 3h = 0 + 4j Remove the zero: 3h = 4j Divide each side by '3'. h = 1.333333333j Simplifying h = 1.333333333jSubproblem 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 = {1.333333333j, -0.2j}
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