35h^2-23hj-4j^2=0

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Solution for 35h^2-23hj-4j^2=0 equation:


Simplifying
35h2 + -23hj + -4j2 = 0

Reorder the terms:
-23hj + 35h2 + -4j2 = 0

Solving
-23hj + 35h2 + -4j2 = 0

Solving for variable 'h'.

Factor a trinomial.
(5h + -4j)(7h + j) = 0

Subproblem 1

Set the factor '(5h + -4j)' equal to zero and attempt to solve: Simplifying 5h + -4j = 0 Solving 5h + -4j = 0 Move all terms containing h to the left, all other terms to the right. Add '4j' to each side of the equation. 5h + -4j + 4j = 0 + 4j Combine like terms: -4j + 4j = 0 5h + 0 = 0 + 4j 5h = 0 + 4j Remove the zero: 5h = 4j Divide each side by '5'. h = 0.8j Simplifying h = 0.8j

Subproblem 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 = -0.1428571429j

Solution

h = {0.8j, -0.1428571429j}

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