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Simplifying 12h2 + -13hj + -4j2 = 0 Reorder the terms: -13hj + 12h2 + -4j2 = 0 Solving -13hj + 12h2 + -4j2 = 0 Solving for variable 'h'. Factor a trinomial. (3h + -4j)(4h + 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 '(4h + j)' equal to zero and attempt to solve: Simplifying 4h + j = 0 Solving 4h + j = 0 Move all terms containing h to the left, all other terms to the right. Add '-1j' to each side of the equation. 4h + j + -1j = 0 + -1j Combine like terms: j + -1j = 0 4h + 0 = 0 + -1j 4h = 0 + -1j Remove the zero: 4h = -1j Divide each side by '4'. h = -0.25j Simplifying h = -0.25jSolution
h = {1.333333333j, -0.25j}
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