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Simplifying 42h2 + -29hj + -5j2 = 0 Reorder the terms: -29hj + 42h2 + -5j2 = 0 Solving -29hj + 42h2 + -5j2 = 0 Solving for variable 'h'. Factor a trinomial. (6h + -5j)(7h + j) = 0Subproblem 1
Set the factor '(6h + -5j)' equal to zero and attempt to solve: Simplifying 6h + -5j = 0 Solving 6h + -5j = 0 Move all terms containing h to the left, all other terms to the right. Add '5j' to each side of the equation. 6h + -5j + 5j = 0 + 5j Combine like terms: -5j + 5j = 0 6h + 0 = 0 + 5j 6h = 0 + 5j Remove the zero: 6h = 5j Divide each side by '6'. h = 0.8333333333j Simplifying h = 0.8333333333jSubproblem 2
Set the factor '(7h + j)' equal to zero and attempt to solve: Simplifying 7h + j = 0 Solving 7h + j = 0 Move all terms containing h to the left, all other terms to the right. Add '-1j' to each side of the equation. 7h + j + -1j = 0 + -1j Combine like terms: j + -1j = 0 7h + 0 = 0 + -1j 7h = 0 + -1j Remove the zero: 7h = -1j Divide each side by '7'. h = -0.1428571429j Simplifying h = -0.1428571429jSolution
h = {0.8333333333j, -0.1428571429j}
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