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Simplifying 35h2 + -44hj + -7j2 = 0 Reorder the terms: -44hj + 35h2 + -7j2 = 0 Solving -44hj + 35h2 + -7j2 = 0 Solving for variable 'h'. Factor a trinomial. (5h + -7j)(7h + j) = 0Subproblem 1
Set the factor '(5h + -7j)' equal to zero and attempt to solve: Simplifying 5h + -7j = 0 Solving 5h + -7j = 0 Move all terms containing h to the left, all other terms to the right. Add '7j' to each side of the equation. 5h + -7j + 7j = 0 + 7j Combine like terms: -7j + 7j = 0 5h + 0 = 0 + 7j 5h = 0 + 7j Remove the zero: 5h = 7j Divide each side by '5'. h = 1.4j Simplifying h = 1.4jSubproblem 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 = {1.4j, -0.1428571429j}
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